[[[0,11,139,1,0],[1,77,93,1,0],[1,93,109,1,0],[1,109,125,1,0],[1,125,141,1,0],[0,139,267,1,0],[1,141,157,1,0],[1,157,173,1,0],[1,173,189,1,0],[0,267,395,1,0],[0,395,523,1,0],[0,523,651,1,0],[0,651,779,1,0],[0,779,907,1,0],[1,907,1019,1,0],[1,1019,1131,1,0],[1,1131,1243,1,0],[1,1243,1355,1,0],[1,1355,1467,1,0],[1,1467,1579,1,0],[1,1579,1691,1,0],[1,1691,1803,1,0],[0,1700,1828,1,0],[1,1803,1915,1,0],[0,1828,1956,1,0],[1,1915,2027,1,0],[0,1956,2084,1,0],[1,2027,2139,1,0],[0,2084,2212,1,0],[1,2139,2251,1,0],[0,2212,2340,1,0],[1,2251,2363,1,0],[0,2340,2468,1,0],[0,2468,2596,1,0],[0,2596,2724,1,0],[1,2598,2710,1,0],[1,2710,2822,1,0],[0,2724,2852,1,0],[1,2822,2934,1,0],[0,2852,2980,1,0],[1,2934,3046,1,0],[0,2980,3108,1,0],[1,3046,3158,1,0],[0,3108,3236,1,0],[1,3158,3270,1,0],[0,3236,3364,1,0],[0,3364,3492,1,0],[0,3492,3620,1,0],[1,3494,3606,1,0],[1,3606,3718,1,0],[0,3620,3748,1,0],[1,3718,3830,1,0],[0,3748,3876,1,0],[1,3830,3942,1,0],[0,3876,4004,1,0],[1,3942,4054,1,0],[0,4004,4132,1,0],[1,4054,4166,1,0],[0,4132,4260,1,0],[0,4260,4388,1,0],[1,4388,4500,1,0],[0,4716,4844,1,0],[0,4844,4972,1,0],[0,4972,5100,1,0],[1,4977,4993,1,0],[1,4993,5009,1,0],[1,5009,5025,1,0],[1,5025,5041,1,0],[1,5041,5057,1,0],[1,5057,5073,1,0],[1,5073,5089,1,0],[1,5089,5105,1,0],[0,5100,5228,1,0],[1,5105,5121,1,0],[1,5121,5137,1,0],[1,5137,5153,1,0],[1,5153,5169,1,0],[1,5169,5185,1,0],[0,5228,5356,1,0],[0,5356,5484,1,0],[0,5484,5612,1,0],[1,5612,5724,1,0],[0,5613,5741,1,0],[1,5724,5836,1,0],[0,5741,5869,1,0],[1,5836,5948,1,0],[0,5869,5997,1,0],[1,5948,6060,1,0],[0,5997,6125,1,0],[1,6060,6172,1,0],[1,6172,6284,1,0],[0,6247,6375,1,0],[1,6284,6396,1,0],[0,6382,6510,1,0],[1,6396,6508,1,0],[1,6508,6620,1,0],[0,6510,6638,1,0],[0,6638,6766,1,0],[1,6766,6878,1,0],[0,6767,6895,1,0],[1,6878,6990,1,0],[0,6895,7023,1,0],[1,6990,7102,1,0],[0,7023,7151,1,0],[1,7102,7214,1,0],[0,7151,7279,1,0],[1,7214,7326,1,0],[0,7279,7407,1,0],[0,7407,7535,1,0],[1,7535,7647,1,0],[0,7557,7613,1,0],[0,7613,7669,1,0],[1,7647,7759,1,0],[0,7669,7725,1,0],[0,7725,7781,1,0],[1,7759,7871,1,0],[0,7781,7837,1,0],[0,7837,7893,1,0],[1,7871,7983,1,0],[1,7983,8095,1,0],[1,8095,8207,1,0],[0,8212,8268,1,0],[1,8268,8284,1,0],[1,8284,8300,1,0],[1,8300,8316,1,0],[1,8316,8332,1,0],[1,8332,8348,1,0],[1,8348,8364,1,0],[1,8364,8380,1,0],[1,8380,8396,1,0],[1,8396,8412,1,0],[1,8412,8428,1,0],[1,8428,8444,1,0],[1,8444,8460,1,0],[1,8460,8476,1,0],[1,8476,8492,1,0],[1,8492,8508,1,0],[1,8508,8524,1,0],[1,8524,8540,1,0],[1,8540,8556,1,0],[1,8556,8572,1,0]],[[0,5,133,1,0],[1,77,205,1,0],[0,133,261,1,0],[1,205,333,1,0],[0,261,389,1,0],[1,333,461,1,0],[0,389,517,1,0],[1,461,589,1,0],[0,517,645,1,0],[1,589,717,1,0],[0,645,773,1,0],[1,717,845,1,0],[0,1027,1123,1,0],[0,1123,1219,1,0],[0,1219,1315,1,0],[0,1315,1411,1,0],[0,1411,1507,1,0],[0,1507,1603,1,0],[1,1551,1679,1,0],[1,1679,1807,1,0],[0,1768,1896,1,0],[1,1807,1935,1,0],[0,1896,2024,1,0],[1,1935,2063,1,0],[0,2024,2152,1,0],[1,2063,2191,1,0],[0,2152,2280,1,0],[1,2191,2319,1,0],[0,2280,2408,1,0],[1,2319,2447,1,0],[0,2408,2536,1,0],[0,2536,2648,1,0],[0,2648,2760,1,0],[0,2760,2872,1,0],[0,2872,2984,1,0],[1,2923,3051,1,0],[0,2984,3096,1,0],[1,3051,3179,1,0],[0,3096,3208,1,0],[1,3179,3307,1,0],[1,3307,3435,1,0],[1,3435,3563,1,0],[0,3461,3589,1,0],[1,3563,3691,1,0],[0,3589,3717,1,0],[1,3691,3819,1,0],[0,3717,3845,1,0],[0,3845,3973,1,0],[0,3973,4101,1,0],[0,4301,4429,1,0],[0,4491,4619,1,0],[1,4540,4668,1,0],[0,4619,4747,1,0],[1,4668,4796,1,0],[0,4747,4875,1,0],[1,4796,4924,1,0],[0,4875,5003,1,0],[1,4924,5052,1,0],[1,5052,5180,1,0],[0,5118,5246,1,0],[1,5180,5308,1,0],[0,5246,5374,1,0],[1,5543,5671,1,0],[1,5671,5799,1,0],[1,5799,5927,1,0],[1,5927,6055,1,0],[1,6055,6183,1,0],[1,6183,6311,1,0],[1,6311,6439,1,0],[0,6385,6513,1,0],[0,6513,6641,1,0],[1,6528,6656,1,0],[0,6641,6769,1,0],[1,6656,6784,1,0],[0,6769,6897,1,0],[1,6784,6912,1,0],[0,6897,7025,1,0],[1,6912,7040,1,0],[0,7025,7153,1,0],[1,7040,7168,1,0],[1,7168,7296,1,0],[1,7296,7424,1,0]],[[0,10,138,1,0],[1,77,93,1,0],[1,93,109,1,0],[1,109,125,1,0],[1,125,141,1,0],[0,138,266,1,0],[1,141,157,1,0],[1,157,173,1,0],[1,173,189,1,0],[0,266,394,1,0],[0,394,522,1,0],[0,522,650,1,0],[0,650,778,1,0],[0,778,906,1,0],[1,906,1018,1,0],[1,1018,1130,1,0],[1,1130,1242,1,0],[1,1242,1354,1,0],[1,1354,1466,1,0],[1,1466,1578,1,0],[1,1578,1690,1,0],[1,1690,1802,1,0],[0,1700,1828,1,0],[1,1802,1914,1,0],[0,1828,1956,1,0],[1,1914,2026,1,0],[0,1956,2084,1,0],[1,2026,2138,1,0],[0,2084,2212,1,0],[1,2138,2250,1,0],[0,2212,2340,1,0],[1,2250,2362,1,0],[0,2340,2468,1,0],[0,2468,2596,1,0],[0,2596,2724,1,0],[1,2598,2710,1,0],[1,2710,2822,1,0],[0,2724,2852,1,0],[1,2822,2934,1,0],[0,2852,2980,1,0],[1,2934,3046,1,0],[0,2980,3108,1,0],[1,3046,3158,1,0],[0,3108,3236,1,0],[1,3158,3270,1,0],[0,3236,3364,1,0],[0,3364,3492,1,0],[0,3492,3620,1,0],[1,3494,3606,1,0],[1,3606,3718,1,0],[0,3620,3748,1,0],[1,3718,3830,1,0],[0,3748,3876,1,0],[1,3830,3942,1,0],[0,3876,4004,1,0],[1,3942,4054,1,0],[0,4004,4132,1,0],[1,4054,4166,1,0],[0,4132,4260,1,0],[0,4260,4388,1,0],[1,4388,4500,1,0],[0,4389,4517,1,0],[1,4500,4516,1,0],[1,4516,4532,1,0],[0,4517,4645,1,0],[1,4532,4548,1,0],[1,4548,4564,1,0],[1,4564,4580,1,0],[1,4580,4596,1,0],[1,4596,4612,1,0],[0,4645,4773,1,0],[1,4753,4769,1,0],[1,4769,4785,1,0],[0,4773,4901,1,0],[1,4785,4801,1,0],[1,4801,4817,1,0],[1,4818,4834,1,0],[1,4835,4851,1,0],[1,4856,4968,1,0],[0,4901,5029,1,0],[0,5029,5157,1,0],[0,5157,5285,1,0],[0,5285,5413,1,0],[0,5413,5541,1,0],[0,5541,5669,1,0],[1,5555,5667,1,0],[1,5667,5779,1,0],[0,5669,5797,1,0],[1,5779,5891,1,0],[0,5797,5925,1,0],[1,5891,6003,1,0],[0,5999,6127,1,0],[1,6003,6115,1,0],[1,6115,6227,1,0],[0,6129,6257,1,0],[0,6257,6385,1,0],[1,6385,6497,1,0],[0,6386,6514,1,0],[1,6497,6609,1,0],[0,6514,6642,1,0],[1,6609,6721,1,0],[0,6642,6770,1,0],[1,6721,6833,1,0],[0,6770,6898,1,0],[1,6833,6945,1,0],[0,6898,7026,1,0],[1,6945,7057,1,0],[0,7062,7190,1,0],[1,7190,7302,1,0],[1,7302,7414,1,0],[1,7414,7526,1,0],[1,7526,7638,1,0],[1,7638,7750,1,0],[1,7750,7862,1,0],[0,7824,7880,1,0],[1,7862,7974,1,0],[1,7974,7990,1,0],[1,7990,8006,1,0],[1,8006,8022,1,0],[1,8022,8038,1,0],[0,8027,8083,1,0],[1,8038,8054,1,0],[1,8054,8070,1,0],[1,8070,8086,1,0],[0,8083,8139,1,0],[1,8086,8102,1,0],[1,8102,8118,1,0],[1,8118,8134,1,0],[1,8134,8150,1,0],[0,8139,8195,1,0],[1,8150,8166,1,0],[1,8166,8182,1,0],[0,8195,8251,1,0],[0,8251,8307,1,0],[0,8307,8363,1,0],[1,8363,8379,1,0],[1,8379,8395,1,0],[1,8395,8411,1,0],[1,8411,8427,1,0],[1,8427,8443,1,0],[1,8443,8459,1,0]],[[0,2,130,1,0],[1,77,205,1,0],[0,130,258,1,0],[1,205,333,1,0],[0,258,386,1,0],[1,333,461,1,0],[0,386,514,1,0],[1,461,589,1,0],[0,514,642,1,0],[1,589,717,1,0],[0,642,770,1,0],[1,717,845,1,0],[1,845,973,1,0],[0,978,1106,1,0],[0,1106,1234,1,0],[0,1234,1362,1,0],[0,1362,1490,1,0],[0,1490,1618,1,0],[0,1618,1746,1,0],[1,1738,1866,1,0],[0,1746,1874,1,0],[0,1874,2002,1,0],[1,2002,2130,1,0],[0,2017,2145,1,0],[1,2130,2258,1,0],[0,2145,2273,1,0],[1,2258,2386,1,0],[0,2273,2401,1,0],[1,2386,2514,1,0],[0,2401,2529,1,0],[1,2514,2642,1,0],[0,2529,2657,1,0],[1,2642,2770,1,0],[0,2657,2785,1,0],[0,2785,2913,1,0],[1,3080,3208,1,0],[1,3208,3336,1,0],[1,3336,3464,1,0],[1,3464,3592,1,0],[1,3592,3720,1,0],[0,3627,3755,1,0],[1,3720,3848,1,0],[0,3755,3883,1,0],[1,3848,3976,1,0],[0,3883,4011,1,0],[1,3976,4104,1,0],[0,4011,4139,1,0],[1,4104,4232,1,0],[0,4139,4267,1,0],[1,4232,4360,1,0],[0,4267,4395,1,0],[1,4360,4488,1,0],[0,4395,4523,1,0],[1,4488,4616,1,0],[0,4523,4579,1,0],[0,4579,4635,1,0],[0,4635,4691,1,0],[0,4691,4747,1,0],[0,4747,4803,1,0],[0,4803,4859,1,0],[0,4859,4915,1,0],[0,4915,4931,1,0],[0,4931,4947,1,0],[0,4947,4963,1,0],[0,4963,4979,1,0],[0,4979,4995,1,0],[0,4995,5011,1,0],[1,5009,5137,1,0],[0,5011,5027,1,0],[0,5027,5155,1,0],[1,5138,5266,1,0],[0,5155,5283,1,0],[1,5266,5394,1,0],[0,5283,5411,1,0],[1,5394,5522,1,0],[0,5411,5539,1,0],[1,5522,5650,1,0],[0,5539,5667,1,0],[1,5650,5778,1,0],[0,5667,5795,1,0],[0,5795,5923,1,0],[0,5923,6051,1,0],[0,6051,6179,1,0],[1,6168,6296,1,0],[0,6179,6307,1,0],[1,6296,6424,1,0],[0,6307,6435,1,0],[1,6424,6552,1,0],[0,6435,6563,1,0],[1,6552,6680,1,0],[0,6563,6691,1,0],[1,6680,6808,1,0],[1,6808,6936,1,0],[1,6936,7064,1,0],[0,7069,7197,1,0]],[[0,8,136,1,0],[1,77,205,1,0],[0,136,264,1,0],[1,205,333,1,0],[0,264,392,1,0],[1,333,461,1,0],[0,392,520,1,0],[1,461,589,1,0],[0,520,648,1,0],[1,589,717,1,0],[0,648,776,1,0],[1,717,845,1,0],[0,776,832,1,0],[0,832,888,1,0],[0,888,944,1,0],[0,944,1000,1,0],[0,1000,1056,1,0],[0,1056,1112,1,0],[1,1281,1409,1,0],[1,1409,1537,1,0],[1,1537,1665,1,0],[1,1665,1793,1,0],[0,1678,1806,1,0],[1,1793,1921,1,0],[0,1806,1934,1,0],[1,1921,2049,1,0],[0,1934,2062,1,0],[1,2049,2177,1,0],[0,2062,2190,1,0],[1,2177,2305,1,0],[0,2190,2318,1,0],[1,2305,2433,1,0],[0,2318,2446,1,0],[1,2433,2561,1,0],[0,2446,2574,1,0],[1,2561,2689,1,0],[0,2574,2702,1,0],[1,2689,2817,1,0],[0,2702,2830,1,0],[1,2817,2945,1,0],[0,2830,2958,1,0],[1,2945,3073,1,0],[0,2958,3086,1,0],[1,3073,3201,1,0],[0,3086,3214,1,0],[1,3201,3329,1,0],[1,3329,3457,1,0],[1,3457,3585,1,0],[0,3537,3665,1,0],[1,3585,3713,1,0],[0,3665,3793,1,0],[1,3713,3841,1,0],[0,3793,3921,1,0],[0,3921,4049,1,0],[0,4049,4177,1,0],[1,4156,4284,1,0],[0,4177,4305,1,0],[1,4284,4412,1,0],[0,4305,4433,1,0],[1,4412,4540,1,0],[0,4433,4561,1,0],[1,4540,4668,1,0],[0,4561,4689,1,0],[1,4668,4796,1,0],[1,4796,4924,1,0],[1,4924,5052,1,0],[0,4938,5066,1,0],[0,5066,5194,1,0],[0,5194,5322,1,0],[1,5352,5480,1,0],[1,5480,5608,1,0],[1,5608,5736,1,0],[1,5736,5864,1,0],[1,5864,5992,1,0],[1,5992,6120,1,0],[1,6120,6248,1,0],[0,6385,6513,1,0],[0,6513,6641,1,0],[0,6641,6769,1,0],[0,6942,7070,1,0],[0,7070,7198,1,0],[0,7198,7326,1,0],[0,8086,8102,1,0],[0,8102,8118,1,0],[0,8118,8134,1,0],[0,8134,8150,1,0],[0,8150,8166,1,0],[0,8166,8182,1,0]],[[0,2,130,1,0],[1,77,205,1,0],[0,130,258,1,0],[1,205,333,1,0],[0,258,386,1,0],[1,333,461,1,0],[0,386,514,1,0],[1,461,589,1,0],[0,514,642,1,0],[1,589,717,1,0],[0,642,770,1,0],[1,717,845,1,0],[1,845,973,1,0],[0,978,1106,1,0],[0,1106,1234,1,0],[0,1234,1362,1,0],[0,1362,1490,1,0],[0,1490,1618,1,0],[0,1618,1746,1,0],[1,1738,1866,1,0],[0,1746,1874,1,0],[0,1874,2002,1,0],[1,2002,2130,1,0],[0,2017,2145,1,0],[1,2130,2258,1,0],[0,2145,2273,1,0],[1,2258,2386,1,0],[0,2273,2401,1,0],[1,2386,2514,1,0],[0,2401,2529,1,0],[1,2514,2642,1,0],[0,2529,2657,1,0],[1,2642,2770,1,0],[0,2657,2785,1,0],[0,2785,2913,1,0],[1,3076,3204,1,0],[1,3204,3332,1,0],[1,3332,3460,1,0],[1,3460,3588,1,0],[1,3588,3716,1,0],[0,3624,3752,1,0],[1,3716,3844,1,0],[0,3752,3880,1,0],[1,3844,3972,1,0],[0,3880,4008,1,0],[1,3972,4100,1,0],[0,4008,4136,1,0],[1,4100,4228,1,0],[0,4136,4264,1,0],[1,4228,4356,1,0],[0,4264,4392,1,0],[1,4356,4484,1,0],[0,4392,4520,1,0],[1,4484,4612,1,0],[0,4520,4576,1,0],[0,4576,4632,1,0],[0,4632,4688,1,0],[0,4688,4744,1,0],[0,4744,4800,1,0],[0,4800,4856,1,0],[0,4856,4912,1,0],[0,4912,4928,1,0],[0,4928,4944,1,0],[0,4944,4960,1,0],[0,4961,4977,1,0],[0,4977,4993,1,0],[0,4993,5009,1,0],[1,5006,5134,1,0],[0,5009,5025,1,0],[0,5025,5153,1,0],[1,5136,5264,1,0],[0,5153,5281,1,0],[1,5264,5392,1,0],[0,5281,5409,1,0],[1,5392,5520,1,0],[0,5409,5537,1,0],[1,5520,5648,1,0],[0,5537,5665,1,0],[1,5648,5776,1,0],[0,5665,5793,1,0],[0,5793,5921,1,0],[0,5921,6049,1,0],[0,6049,6177,1,0],[1,6168,6296,1,0],[0,6177,6305,1,0],[1,6296,6424,1,0],[0,6305,6433,1,0],[1,6424,6552,1,0],[0,6433,6561,1,0],[1,6552,6680,1,0],[0,6561,6689,1,0],[1,6680,6808,1,0],[1,6808,6936,1,0],[1,6936,7064,1,0],[0,7069,7197,1,0]],[[0,7,135,1,0],[1,77,205,1,0],[0,135,263,1,0],[1,205,333,1,0],[0,263,391,1,0],[1,333,461,1,0],[0,391,519,1,0],[1,461,589,1,0],[0,519,647,1,0],[1,589,717,1,0],[0,647,775,1,0],[1,717,845,1,0],[0,775,831,1,0],[0,831,887,1,0],[0,887,943,1,0],[0,943,999,1,0],[0,999,1055,1,0],[0,1055,1111,1,0],[1,1283,1411,1,0],[1,1411,1539,1,0],[1,1539,1667,1,0],[1,1667,1795,1,0],[0,1678,1806,1,0],[1,1795,1923,1,0],[0,1806,1934,1,0],[1,1923,2051,1,0],[0,1934,2062,1,0],[1,2051,2179,1,0],[0,2062,2190,1,0],[1,2179,2307,1,0],[0,2190,2318,1,0],[1,2307,2435,1,0],[0,2318,2446,1,0],[1,2435,2563,1,0],[0,2446,2574,1,0],[1,2563,2691,1,0],[0,2574,2702,1,0],[1,2691,2819,1,0],[0,2702,2830,1,0],[1,2819,2947,1,0],[0,2830,2958,1,0],[0,2958,3086,1,0],[0,3086,3214,1,0],[0,3538,3666,1,0],[1,3547,3675,1,0],[0,3666,3794,1,0],[1,3675,3803,1,0],[0,3794,3922,1,0],[1,3803,3931,1,0],[0,3922,4050,1,0],[1,3931,4059,1,0],[0,4050,4178,1,0],[1,4059,4187,1,0],[0,4178,4306,1,0],[1,4187,4315,1,0],[1,4315,4443,1,0],[1,4443,4571,1,0],[0,4658,4786,1,0],[1,4768,4896,1,0],[0,4786,4914,1,0],[1,4896,5024,1,0],[0,4914,5042,1,0],[1,5024,5152,1,0],[0,5042,5170,1,0],[1,5152,5280,1,0],[1,5280,5408,1,0],[1,5408,5536,1,0],[0,5424,5552,1,0],[0,5552,5680,1,0],[1,5680,5808,1,0],[1,5808,5936,1,0],[1,5936,6064,1,0],[1,6064,6192,1,0],[1,6192,6320,1,0],[1,6320,6448,1,0],[1,6448,6576,1,0],[0,6536,6664,1,0],[0,6664,6792,1,0],[0,6967,7095,1,0],[0,7095,7223,1,0],[0,7223,7351,1,0],[0,7351,7479,1,0],[0,8255,8271,1,0],[0,8335,8351,1,0],[0,8351,8367,1,0],[0,8367,8383,1,0],[0,8383,8399,1,0],[0,8399,8415,1,0]],[[0,14,142,1,0],[1,77,205,1,0],[0,142,270,1,0],[1,205,333,1,0],[0,270,398,1,0],[1,333,461,1,0],[0,398,526,1,0],[1,461,589,1,0],[0,526,654,1,0],[1,589,717,1,0],[0,654,782,1,0],[1,717,845,1,0],[1,979,1107,1,0],[0,987,1115,1,0],[1,1107,1235,1,0],[0,1115,1243,1,0],[1,1235,1363,1,0],[0,1243,1371,1,0],[1,1365,1493,1,0],[0,1371,1499,1,0],[1,1493,1621,1,0],[0,1499,1627,1,0],[1,1621,1749,1,0],[0,1627,1755,1,0],[0,1755,1811,1,0],[1,1767,1895,1,0],[0,1811,1867,1,0],[0,1867,1923,1,0],[0,1923,1979,1,0],[0,1979,2035,1,0],[1,2001,2129,1,0],[0,2035,2091,1,0],[1,2129,2257,1,0],[1,2257,2385,1,0],[1,2385,2513,1,0],[0,2455,2583,1,0],[1,2513,2641,1,0],[0,2583,2711,1,0],[1,2641,2769,1,0],[0,2711,2839,1,0],[0,2839,2967,1,0],[1,2899,3027,1,0],[0,2967,3095,1,0],[0,3095,3223,1,0],[0,3223,3351,1,0],[0,3351,3479,1,0],[0,3479,3607,1,0],[1,3598,3726,1,0],[1,3726,3854,1,0],[0,3753,3881,1,0],[1,3854,3982,1,0],[0,3881,4009,1,0],[1,3982,4110,1,0],[0,4009,4137,1,0],[1,4110,4238,1,0],[0,4137,4265,1,0],[1,4238,4366,1,0],[0,4265,4393,1,0],[0,4393,4521,1,0],[0,4521,4649,1,0],[0,4649,4777,1,0],[1,4717,4845,1,0],[0,4777,4905,1,0],[0,4939,5067,1,0],[1,5041,5169,1,0],[0,5067,5195,1,0],[1,5169,5297,1,0],[0,5195,5323,1,0],[1,5297,5425,1,0],[0,5323,5451,1,0],[1,5425,5553,1,0],[0,5451,5579,1,0],[1,5553,5681,1,0],[0,5579,5707,1,0],[1,5681,5809,1,0],[1,7001,7129,1,0],[1,7284,7412,1,0],[1,7412,7540,1,0],[1,7540,7668,1,0],[1,7668,7796,1,0],[1,7796,7924,1,0],[1,7924,8052,1,0],[0,8149,8165,1,0],[0,8165,8181,1,0],[0,8181,8197,1,0],[0,8197,8213,1,0],[0,8213,8229,1,0],[0,8229,8245,1,0]],[[0,30,158,1,0],[0,158,286,1,0],[0,286,414,1,0],[0,414,542,1,0],[0,542,670,1,0],[1,670,798,1,0],[0,873,1001,1,0],[1,1001,1129,1,0],[1,1129,1257,1,0],[1,1257,1385,1,0],[0,1262,1390,1,0],[1,1385,1513,1,0],[0,1390,1518,1,0],[1,1513,1641,1,0],[0,1518,1646,1,0],[1,1641,1769,1,0],[0,1646,1774,1,0],[1,1769,1897,1,0],[0,1774,1902,1,0],[1,1897,2025,1,0],[0,1902,2030,1,0],[1,2025,2153,1,0],[1,2153,2281,1,0],[1,2281,2409,1,0],[1,2409,2537,1,0],[0,2495,2623,1,0],[1,2537,2665,1,0],[0,2623,2751,1,0],[1,2665,2793,1,0],[0,2751,2879,1,0],[1,2793,2921,1,0],[0,2879,3007,1,0],[1,2921,3049,1,0],[0,3007,3135,1,0],[1,3049,3177,1,0],[0,3135,3263,1,0],[1,3177,3305,1,0],[0,3263,3391,1,0],[1,3305,3433,1,0],[0,3391,3519,1,0],[1,3433,3561,1,0],[0,3519,3647,1,0],[1,3561,3689,1,0],[0,3647,3775,1,0],[1,3689,3817,1,0],[0,3775,3903,1,0],[1,3817,3945,1,0],[0,3903,4031,1,0],[1,3945,4073,1,0],[0,4031,4159,1,0],[1,4073,4201,1,0],[0,4159,4287,1,0],[1,4201,4329,1,0],[0,4287,4415,1,0],[1,4329,4457,1,0],[0,4415,4543,1,0],[1,4457,4585,1,0],[0,4543,4671,1,0],[1,4585,4713,1,0],[0,4671,4799,1,0],[1,4713,4841,1,0],[0,4799,4815,1,0],[0,4815,4831,1,0],[0,4831,4847,1,0],[1,4841,4969,1,0],[1,4969,5097,1,0],[0,4991,5007,1,0],[0,5007,5023,1,0],[0,5023,5039,1,0],[0,5055,5183,1,0],[0,5183,5311,1,0],[0,5540,5668,1,0],[0,5668,5796,1,0],[0,5796,5924,1,0],[0,5924,6052,1,0],[1,6193,6321,1,0],[1,6321,6449,1,0],[1,6449,6577,1,0],[1,6577,6705,1,0],[1,6705,6833,1,0],[1,6833,6961,1,0],[0,7451,7507,1,0],[0,7507,7563,1,0],[0,7563,7619,1,0],[1,7596,7724,1,0],[0,7619,7675,1,0],[0,7675,7731,1,0],[0,7869,7925,1,0]],[[0,13,141,1,0],[1,77,205,1,0],[0,141,269,1,0],[1,205,333,1,0],[0,269,397,1,0],[1,333,461,1,0],[0,397,525,1,0],[1,461,589,1,0],[0,525,653,1,0],[1,589,717,1,0],[0,653,781,1,0],[1,717,845,1,0],[1,979,1107,1,0],[0,985,1113,1,0],[1,1107,1235,1,0],[0,1113,1241,1,0],[1,1235,1363,1,0],[0,1241,1369,1,0],[1,1365,1493,1,0],[0,1369,1497,1,0],[1,1493,1621,1,0],[0,1497,1625,1,0],[1,1621,1749,1,0],[0,1625,1753,1,0],[0,1753,1809,1,0],[1,1767,1895,1,0],[0,1809,1865,1,0],[0,1865,1921,1,0],[0,1921,1977,1,0],[0,1977,2033,1,0],[1,1999,2127,1,0],[0,2033,2089,1,0],[1,2127,2255,1,0],[1,2255,2383,1,0],[1,2383,2511,1,0],[0,2454,2582,1,0],[1,2511,2639,1,0],[0,2582,2710,1,0],[1,2639,2767,1,0],[0,2710,2838,1,0],[0,2838,2966,1,0],[1,2899,3027,1,0],[0,2966,3094,1,0],[0,3094,3222,1,0],[0,3222,3350,1,0],[0,3350,3478,1,0],[1,3595,3723,1,0],[0,3624,3752,1,0],[1,3723,3851,1,0],[0,3752,3880,1,0],[1,3851,3979,1,0],[0,3880,4008,1,0],[1,3979,4107,1,0],[0,4008,4136,1,0],[1,4107,4235,1,0],[0,4136,4264,1,0],[1,4235,4363,1,0],[0,4264,4392,1,0],[0,4392,4520,1,0],[0,4520,4648,1,0],[0,4648,4776,1,0],[1,4718,4846,1,0],[0,4776,4904,1,0],[0,4940,5068,1,0],[1,5042,5170,1,0],[0,5068,5196,1,0],[1,5170,5298,1,0],[0,5196,5324,1,0],[1,5298,5426,1,0],[0,5324,5452,1,0],[1,5426,5554,1,0],[0,5452,5580,1,0],[1,5554,5682,1,0],[0,5580,5708,1,0],[1,5682,5810,1,0],[1,7021,7149,1,0],[1,7285,7413,1,0],[1,7413,7541,1,0],[1,7541,7669,1,0],[1,7669,7797,1,0],[1,7797,7925,1,0],[1,7925,8053,1,0],[0,8147,8163,1,0],[0,8163,8179,1,0],[0,8179,8195,1,0],[0,8195,8211,1,0],[0,8211,8227,1,0],[0,8227,8243,1,0]],[[0,29,157,1,0],[0,157,285,1,0],[0,285,413,1,0],[0,413,541,1,0],[0,541,669,1,0],[1,669,797,1,0],[0,871,999,1,0],[1,999,1127,1,0],[1,1127,1255,1,0],[1,1255,1383,1,0],[1,1383,1511,1,0],[1,1511,1639,1,0],[1,1639,1767,1,0],[1,1767,1895,1,0],[0,1772,1900,1,0],[1,1895,2023,1,0],[0,1900,2028,1,0],[1,2023,2151,1,0],[0,2028,2156,1,0],[1,2151,2279,1,0],[0,2156,2284,1,0],[1,2279,2407,1,0],[0,2284,2412,1,0],[1,2407,2535,1,0],[0,2412,2540,1,0],[0,2540,2668,1,0],[1,2631,2759,1,0],[0,2668,2796,1,0],[1,2759,2887,1,0],[0,2796,2924,1,0],[1,2887,3015,1,0],[0,2924,3052,1,0],[1,3015,3143,1,0],[0,3147,3275,1,0],[0,3275,3403,1,0],[0,3403,3531,1,0],[1,3531,3659,1,0],[0,3531,3659,1,0],[1,3659,3787,1,0],[0,3659,3787,1,0],[0,3787,3915,1,0],[1,3789,3917,1,0],[0,3915,4043,1,0],[1,3917,4045,1,0],[0,4043,4171,1,0],[1,4045,4173,1,0],[1,4173,4301,1,0],[1,4301,4429,1,0],[0,4315,4443,1,0],[1,4429,4557,1,0],[0,4443,4571,1,0],[1,4557,4685,1,0],[0,4571,4699,1,0],[0,4699,4827,1,0],[0,4827,4955,1,0],[0,4955,5083,1,0],[1,5083,5211,1,0],[1,5211,5339,1,0],[1,5339,5467,1,0],[1,5467,5595,1,0],[0,5472,5488,1,0],[0,5488,5504,1,0],[0,5504,5520,1,0],[0,5520,5536,1,0],[0,5536,5552,1,0],[0,5552,5568,1,0],[0,5568,5696,1,0],[1,5595,5723,1,0],[0,5696,5824,1,0],[1,5723,5851,1,0],[0,5824,5952,1,0],[1,5851,5979,1,0],[0,5952,6080,1,0],[0,6080,6208,1,0],[0,6208,6336,1,0],[1,6855,6983,1,0],[1,6983,7111,1,0],[1,7111,7239,1,0],[1,7239,7367,1,0],[1,7367,7495,1,0],[1,7495,7623,1,0],[1,8139,8267,1,0],[0,8237,8293,1,0],[0,8293,8349,1,0],[0,8349,8405,1,0],[0,8405,8461,1,0],[0,8461,8517,1,0],[0,8517,8573,1,0]],[[0,3,131,1,0],[1,78,206,1,0],[0,131,259,1,0],[1,206,334,1,0],[0,259,387,1,0],[1,334,462,1,0],[0,387,515,1,0],[1,462,590,1,0],[0,515,643,1,0],[1,590,718,1,0],[0,643,771,1,0],[1,718,846,1,0],[0,771,899,1,0],[1,846,974,1,0],[0,920,1048,1,0],[0,1048,1176,1,0],[1,1156,1284,1,0],[0,1176,1304,1,0],[1,1284,1412,1,0],[0,1304,1432,1,0],[1,1412,1540,1,0],[0,1432,1560,1,0],[1,1540,1668,1,0],[0,1560,1688,1,0],[1,1668,1796,1,0],[0,1688,1816,1,0],[1,1796,1924,1,0],[1,1924,2052,1,0],[1,2500,2628,1,0],[0,2518,2646,1,0],[1,2628,2756,1,0],[0,2646,2774,1,0],[1,2756,2884,1,0],[0,2774,2902,1,0],[1,2884,3012,1,0],[0,2902,3030,1,0],[1,3012,3140,1,0],[0,3030,3158,1,0],[1,3140,3268,1,0],[0,3158,3286,1,0],[0,3286,3414,1,0],[1,3414,3542,1,0],[0,3440,3568,1,0],[1,3542,3670,1,0],[0,3568,3696,1,0],[1,3670,3798,1,0],[0,3696,3824,1,0],[1,3798,3926,1,0],[1,3926,4054,1,0],[1,4054,4182,1,0],[1,4182,4310,1,0],[1,4310,4438,1,0],[0,4310,4438,1,0],[0,4540,4668,1,0],[1,4628,4756,1,0],[0,4668,4796,1,0],[1,4756,4884,1,0],[0,4796,4924,1,0],[0,4924,5052,1,0],[1,5052,5180,1,0],[0,5052,5180,1,0],[1,5180,5308,1,0],[0,5180,5308,1,0],[1,5308,5436,1,0],[0,5308,5436,1,0],[0,5436,5564,1,0],[1,5438,5566,1,0],[0,5564,5692,1,0],[0,5692,5820,1,0],[1,5820,5948,1,0],[1,5948,6076,1,0],[1,6076,6204,1,0],[0,6199,6327,1,0],[1,6204,6332,1,0],[0,6327,6455,1,0],[1,6332,6460,1,0],[0,6455,6583,1,0],[1,6460,6588,1,0],[0,6583,6711,1,0],[1,6590,6718,1,0],[0,6711,6839,1,0],[1,6718,6846,1,0],[0,6839,6967,1,0],[0,6967,7095,1,0],[1,7095,7223,1,0],[0,7095,7223,1,0],[1,7223,7351,1,0],[0,7223,7351,1,0],[1,7351,7479,1,0],[0,7351,7479,1,0],[1,7479,7607,1,0],[0,7479,7607,1,0],[0,7607,7735,1,0],[0,7735,7863,1,0],[0,7863,7991,1,0],[0,8068,8140,1,0],[0,8285,8357,1,0],[0,8357,8429,1,0],[0,8429,8501,1,0],[0,8501,8573,1,0],[0,8573,8645,1,0],[0,8645,8717,1,0]],[[0,40,168,1,0],[1,77,149,1,0],[1,149,221,1,0],[0,168,296,1,0],[1,221,293,1,0],[1,293,365,1,0],[0,296,424,1,0],[1,365,437,1,0],[0,424,552,1,0],[1,437,509,1,0],[1,509,581,1,0],[0,552,680,1,0],[0,680,808,1,0],[0,808,936,1,0],[1,864,920,1,0],[1,920,976,1,0],[0,936,1064,1,0],[1,976,1032,1,0],[1,1032,1088,1,0],[0,1064,1192,1,0],[1,1088,1144,1,0],[1,1144,1200,1,0],[0,1192,1320,1,0],[0,1320,1448,1,0],[0,1448,1576,1,0],[0,1576,1704,1,0],[0,1704,1832,1,0],[1,2217,2273,1,0],[1,2273,2329,1,0],[1,2329,2385,1,0],[1,2387,2443,1,0],[0,2414,2542,1,0],[1,2443,2499,1,0],[1,2499,2555,1,0],[0,2542,2670,1,0],[0,2670,2798,1,0],[1,2796,2852,1,0],[0,2798,2926,1,0],[1,2852,2908,1,0],[1,2908,2964,1,0],[0,2926,3054,1,0],[1,2964,3020,1,0],[1,3020,3076,1,0],[0,3054,3182,1,0],[1,3076,3132,1,0],[1,3132,3188,1,0],[0,3193,3321,1,0],[1,3321,3393,1,0],[1,3393,3465,1,0],[1,3465,3537,1,0],[1,3537,3609,1,0],[1,3609,3681,1,0],[1,3681,3753,1,0],[0,3961,4089,1,0],[1,4060,4132,1,0],[0,4089,4217,1,0],[1,4132,4204,1,0],[1,4204,4276,1,0],[0,4217,4345,1,0],[1,4276,4348,1,0],[0,4345,4473,1,0],[1,4348,4420,1,0],[1,4420,4492,1,0],[0,4477,4605,1,0],[1,4595,4651,1,0],[0,4605,4733,1,0],[1,4651,4707,1,0],[1,4707,4763,1,0],[0,4733,4861,1,0],[1,4763,4819,1,0],[1,4819,4875,1,0],[0,4861,4989,1,0],[1,4875,4931,1,0],[1,4931,4987,1,0],[1,4987,5059,1,0],[0,4989,5117,1,0],[1,5059,5131,1,0],[0,5117,5245,1,0],[1,5131,5203,1,0],[0,5245,5373,1,0],[1,5373,5445,1,0],[0,5374,5502,1,0],[1,5445,5517,1,0],[0,5502,5630,1,0],[1,5517,5589,1,0],[1,5589,5661,1,0],[0,5666,5794,1,0],[1,5794,5850,1,0],[1,5850,5906,1,0],[1,5906,5962,1,0],[1,5962,6018,1,0],[1,6018,6074,1,0],[1,6074,6130,1,0],[1,6130,6186,1,0],[0,6242,6370,1,0],[1,6292,6364,1,0],[1,6364,6436,1,0],[0,6370,6498,1,0],[1,6436,6508,1,0],[0,6498,6626,1,0],[1,6508,6580,1,0],[1,6580,6652,1,0],[0,6626,6754,1,0],[1,6652,6724,1,0],[1,6724,6780,1,0],[0,6754,6882,1,0],[1,6780,6836,1,0],[1,6836,6892,1,0],[0,6882,7010,1,0],[1,6892,6948,1,0],[1,6948,7004,1,0],[0,7010,7138,1,0],[1,7138,7194,1,0],[0,7139,7267,1,0],[0,7267,7395,1,0],[0,7395,7523,1,0],[0,7523,7651,1,0],[0,7651,7779,1,0],[1,7659,7715,1,0],[1,7715,7771,1,0],[1,7771,7827,1,0],[0,7779,7907,1,0],[1,7827,7883,1,0],[0,7907,8035,1,0],[1,8035,8091,1,0],[1,8091,8147,1,0],[1,8335,8391,1,0],[1,8415,8487,1,0],[1,8487,8559,1,0],[1,8559,8631,1,0],[1,8631,8703,1,0],[1,8703,8775,1,0],[1,8775,8847,1,0],[1,8847,8919,1,0]],[[0,4,132,1,0],[1,79,207,1,0],[0,132,260,1,0],[1,207,335,1,0],[0,260,388,1,0],[1,335,463,1,0],[0,388,516,1,0],[1,463,591,1,0],[0,516,644,1,0],[1,591,719,1,0],[0,644,772,1,0],[1,719,847,1,0],[0,772,900,1,0],[1,847,975,1,0],[0,919,1047,1,0],[0,1047,1175,1,0],[1,1157,1285,1,0],[0,1175,1303,1,0],[1,1285,1413,1,0],[0,1303,1431,1,0],[1,1413,1541,1,0],[0,1431,1559,1,0],[1,1541,1669,1,0],[0,1559,1687,1,0],[1,1669,1797,1,0],[0,1687,1815,1,0],[1,1797,1925,1,0],[1,1925,2053,1,0],[1,2501,2629,1,0],[0,2516,2644,1,0],[1,2629,2757,1,0],[0,2644,2772,1,0],[1,2757,2885,1,0],[0,2772,2900,1,0],[1,2885,3013,1,0],[0,2900,3028,1,0],[1,3013,3141,1,0],[0,3028,3156,1,0],[1,3141,3269,1,0],[0,3156,3284,1,0],[0,3284,3412,1,0],[1,3412,3540,1,0],[1,3540,3668,1,0],[0,3556,3684,1,0],[1,3668,3796,1,0],[0,3684,3812,1,0],[1,3796,3924,1,0],[1,3924,4052,1,0],[1,4052,4180,1,0],[1,4180,4308,1,0],[1,4308,4436,1,0],[0,4308,4436,1,0],[0,4538,4666,1,0],[1,4630,4758,1,0],[0,4666,4794,1,0],[1,4758,4886,1,0],[0,4794,4922,1,0],[1,4886,5014,1,0],[0,4922,5050,1,0],[0,5050,5178,1,0],[1,5178,5306,1,0],[0,5178,5306,1,0],[1,5306,5434,1,0],[0,5306,5434,1,0],[0,5434,5562,1,0],[1,5436,5564,1,0],[0,5562,5690,1,0],[1,5564,5692,1,0],[0,5690,5818,1,0],[0,5818,5946,1,0],[1,5946,6074,1,0],[1,6074,6202,1,0],[0,6198,6326,1,0],[1,6202,6330,1,0],[0,6326,6454,1,0],[1,6330,6458,1,0],[0,6454,6582,1,0],[1,6458,6586,1,0],[0,6582,6710,1,0],[1,6586,6714,1,0],[0,6710,6838,1,0],[1,6714,6842,1,0],[0,6838,6966,1,0],[0,6966,7094,1,0],[1,7094,7222,1,0],[0,7094,7222,1,0],[1,7222,7350,1,0],[0,7222,7350,1,0],[1,7350,7478,1,0],[0,7350,7478,1,0],[1,7478,7606,1,0],[0,7478,7606,1,0],[0,7606,7734,1,0],[0,7734,7862,1,0],[0,7862,7990,1,0],[0,8066,8138,1,0],[0,8283,8355,1,0],[0,8355,8427,1,0],[0,8427,8499,1,0],[0,8499,8571,1,0],[0,8571,8643,1,0],[0,8643,8715,1,0]],[[0,39,167,1,0],[1,77,149,1,0],[1,149,221,1,0],[0,167,295,1,0],[1,221,293,1,0],[1,293,365,1,0],[0,295,423,1,0],[1,365,437,1,0],[0,423,551,1,0],[1,437,509,1,0],[1,509,581,1,0],[0,551,679,1,0],[0,679,807,1,0],[0,807,935,1,0],[1,862,918,1,0],[1,918,974,1,0],[0,935,1063,1,0],[1,974,1030,1,0],[1,1030,1086,1,0],[0,1063,1191,1,0],[1,1086,1142,1,0],[1,1142,1198,1,0],[0,1191,1319,1,0],[0,1319,1447,1,0],[0,1447,1575,1,0],[0,1575,1703,1,0],[0,1703,1831,1,0],[1,2214,2270,1,0],[1,2270,2326,1,0],[1,2326,2382,1,0],[1,2384,2440,1,0],[1,2440,2496,1,0],[1,2496,2552,1,0],[1,2920,2976,1,0],[1,2976,3032,1,0],[1,3032,3088,1,0],[1,3088,3144,1,0],[1,3144,3200,1,0],[1,3200,3256,1,0],[1,3256,3312,1,0],[1,3312,3384,1,0],[1,3384,3456,1,0],[0,3446,3574,1,0],[1,3456,3528,1,0],[1,3528,3600,1,0],[0,3574,3702,1,0],[1,3600,3672,1,0],[1,3672,3744,1,0],[0,3702,3830,1,0],[1,3799,3871,1,0],[0,3830,3958,1,0],[1,3871,3943,1,0],[1,3943,4015,1,0],[0,3958,4086,1,0],[0,4086,4214,1,0],[0,4214,4342,1,0],[0,4463,4591,1,0],[0,4591,4719,1,0],[0,4719,4847,1,0],[0,4894,5022,1,0],[1,4955,5027,1,0],[0,5022,5150,1,0],[1,5028,5100,1,0],[1,5100,5172,1,0],[0,5150,5278,1,0],[1,5172,5228,1,0],[1,5228,5284,1,0],[0,5278,5406,1,0],[1,5284,5340,1,0],[1,5340,5396,1,0],[1,5396,5452,1,0],[0,5406,5534,1,0],[1,5452,5508,1,0],[1,5508,5564,1,0],[0,5534,5662,1,0],[1,5564,5636,1,0],[0,5662,5790,1,0],[1,5790,5862,1,0],[0,5791,5919,1,0],[1,5862,5934,1,0],[0,5919,6047,1,0],[1,5934,6006,1,0],[1,6006,6078,1,0],[0,6047,6175,1,0],[1,6078,6150,1,0],[1,6150,6222,1,0],[0,6227,6355,1,0],[1,6355,6411,1,0],[1,6411,6467,1,0],[1,6467,6523,1,0],[0,6485,6613,1,0],[1,6523,6579,1,0],[1,6579,6635,1,0],[1,6635,6691,1,0],[0,6644,6772,1,0],[1,6691,6747,1,0],[1,6747,6819,1,0],[0,6772,6900,1,0],[1,6819,6891,1,0],[1,6891,6963,1,0],[0,6900,7028,1,0],[1,6963,7035,1,0],[0,7028,7156,1,0],[1,7035,7107,1,0],[1,7107,7179,1,0],[0,7156,7284,1,0],[1,7179,7235,1,0],[1,7235,7291,1,0],[0,7284,7412,1,0],[1,7291,7347,1,0],[1,7347,7403,1,0],[0,7412,7540,1,0],[1,7540,7596,1,0],[0,7541,7669,1,0],[1,7596,7652,1,0],[1,7652,7708,1,0],[0,7669,7797,1,0],[1,7708,7764,1,0],[1,7764,7820,1,0],[0,7797,7925,1,0],[1,7820,7876,1,0],[1,7876,7932,1,0],[0,7925,8053,1,0],[1,7932,7988,1,0],[1,7990,8046,1,0],[0,8053,8181,1,0],[0,8181,8309,1,0],[1,8827,8899,1,0],[1,8899,8971,1,0],[1,8971,9043,1,0],[1,9043,9115,1,0],[1,9115,9187,1,0],[1,9187,9259,1,0],[1,9259,9331,1,0]],[[0,22,150,1,0],[1,77,205,1,0],[0,150,278,1,0],[1,205,333,1,0],[0,278,406,1,0],[1,333,461,1,0],[0,406,534,1,0],[1,461,589,1,0],[0,534,662,1,0],[1,589,717,1,0],[0,662,790,1,0],[1,717,845,1,0],[0,790,918,1,0],[1,845,973,1,0],[0,918,1046,1,0],[0,1046,1174,1,0],[0,1174,1302,1,0],[0,1302,1430,1,0],[0,1430,1558,1,0],[1,1558,1686,1,0],[1,1686,1814,1,0],[1,1814,1942,1,0],[1,1942,2070,1,0],[0,1947,2075,1,0],[1,2070,2198,1,0],[0,2075,2203,1,0],[1,2198,2326,1,0],[0,2203,2331,1,0],[1,2326,2454,1,0],[0,2331,2459,1,0],[1,2454,2582,1,0],[0,2459,2587,1,0],[1,2582,2710,1,0],[0,2587,2715,1,0],[1,2710,2838,1,0],[1,2838,2966,1,0],[1,2966,3094,1,0],[1,3094,3222,1,0],[0,3118,3190,1,0],[0,3190,3262,1,0],[1,3222,3350,1,0],[0,3262,3334,1,0],[0,3334,3406,1,0],[1,3350,3478,1,0],[0,3406,3534,1,0],[1,3478,3606,1,0],[0,3551,3623,1,0],[1,3606,3734,1,0],[0,3623,3695,1,0],[0,3695,3823,1,0],[1,3734,3862,1,0],[0,3823,3951,1,0],[1,3862,3990,1,0],[0,3951,4079,1,0],[1,3990,4118,1,0],[0,4079,4207,1,0],[0,4207,4335,1,0],[1,4335,4463,1,0],[1,4463,4591,1,0],[1,4591,4719,1,0],[1,4719,4847,1,0],[1,4847,4975,1,0],[1,4975,5103,1,0],[1,5103,5231,1,0],[1,5231,5359,1,0],[0,5236,5364,1,0],[1,5359,5487,1,0],[0,5364,5492,1,0],[1,5487,5615,1,0],[0,5492,5620,1,0],[1,5615,5743,1,0],[0,5620,5748,1,0],[1,5743,5871,1,0],[0,5748,5876,1,0],[1,5871,5999,1,0],[0,5876,6004,1,0],[0,6004,6132,1,0],[0,6132,6260,1,0],[0,6260,6388,1,0],[0,6388,6516,1,0],[0,6516,6644,1,0],[0,6644,6772,1,0]],[[0,3,131,1,0],[1,77,205,1,0],[0,131,259,1,0],[1,205,333,1,0],[0,260,388,1,0],[1,333,461,1,0],[0,388,516,1,0],[1,461,589,1,0],[0,516,644,1,0],[1,589,717,1,0],[0,644,772,1,0],[1,717,845,1,0],[0,789,917,1,0],[1,854,982,1,0],[0,917,1045,1,0],[0,1045,1173,1,0],[0,1173,1301,1,0],[0,1301,1429,1,0],[0,1429,1557,1,0],[1,1557,1685,1,0],[1,1685,1813,1,0],[1,1813,1941,1,0],[1,1941,2069,1,0],[1,2069,2197,1,0],[1,2197,2325,1,0],[1,2325,2453,1,0],[1,2453,2581,1,0],[0,2466,2594,1,0],[1,2581,2709,1,0],[0,2594,2722,1,0],[0,2722,2850,1,0],[0,2850,2978,1,0],[0,2978,3106,1,0],[0,3106,3234,1,0],[1,3234,3362,1,0],[0,3234,3362,1,0],[1,3362,3490,1,0],[0,3362,3490,1,0],[1,3490,3618,1,0],[0,3490,3618,1,0],[1,3618,3746,1,0],[0,3618,3746,1,0],[0,3751,3879,1,0],[0,3879,4007,1,0],[0,4007,4135,1,0],[1,4135,4263,1,0],[0,4136,4264,1,0],[1,4263,4391,1,0],[1,4391,4519,1,0],[1,4519,4647,1,0],[1,4647,4775,1,0],[1,4775,4903,1,0],[0,4908,5036,1,0],[0,5036,5164,1,0],[0,5164,5292,1,0],[0,5292,5420,1,0],[1,5420,5548,1,0],[1,5548,5676,1,0],[1,5676,5804,1,0],[1,5804,5932,1,0],[0,5898,5970,1,0],[1,5932,6060,1,0],[0,6004,6132,1,0],[1,6060,6188,1,0],[0,6132,6260,1,0],[1,6188,6316,1,0],[0,6260,6388,1,0],[0,6388,6516,1,0],[0,6516,6644,1,0],[0,6644,6772,1,0],[0,6772,6844,1,0],[1,6774,6902,1,0],[0,6844,6916,1,0],[0,6916,6988,1,0],[0,6988,7060,1,0],[0,7060,7132,1,0],[1,7132,7260,1,0],[1,7260,7388,1,0],[1,7388,7516,1,0],[1,7516,7644,1,0],[1,7644,7772,1,0],[1,7772,7900,1,0]],[[0,23,151,1,0],[1,77,205,1,0],[0,151,279,1,0],[1,205,333,1,0],[0,279,407,1,0],[1,333,461,1,0],[0,407,535,1,0],[1,461,589,1,0],[0,535,663,1,0],[1,590,718,1,0],[0,663,791,1,0],[1,718,846,1,0],[0,791,919,1,0],[1,846,974,1,0],[0,919,1047,1,0],[0,1047,1175,1,0],[0,1175,1303,1,0],[0,1303,1431,1,0],[0,1431,1559,1,0],[1,1559,1687,1,0],[1,1687,1815,1,0],[1,1815,1943,1,0],[1,1943,2071,1,0],[0,1948,2076,1,0],[1,2071,2199,1,0],[0,2076,2204,1,0],[1,2199,2327,1,0],[0,2204,2332,1,0],[1,2327,2455,1,0],[0,2332,2460,1,0],[1,2455,2583,1,0],[0,2460,2588,1,0],[1,2583,2711,1,0],[0,2588,2716,1,0],[1,2711,2839,1,0],[1,2839,2967,1,0],[1,2967,3095,1,0],[1,3095,3223,1,0],[0,3118,3190,1,0],[0,3190,3262,1,0],[1,3223,3351,1,0],[0,3262,3334,1,0],[0,3334,3406,1,0],[1,3351,3479,1,0],[0,3406,3534,1,0],[1,3479,3607,1,0],[0,3551,3623,1,0],[1,3607,3735,1,0],[0,3623,3695,1,0],[0,3695,3823,1,0],[1,3735,3863,1,0],[0,3823,3951,1,0],[1,3863,3991,1,0],[0,3951,4079,1,0],[1,3991,4119,1,0],[0,4079,4207,1,0],[0,4207,4335,1,0],[1,4335,4463,1,0],[1,4463,4591,1,0],[1,4591,4719,1,0],[1,4719,4847,1,0],[1,4847,4975,1,0],[1,4975,5103,1,0],[1,5103,5231,1,0],[1,5231,5359,1,0],[0,5236,5364,1,0],[1,5359,5487,1,0],[0,5364,5492,1,0],[1,5487,5615,1,0],[0,5492,5620,1,0],[1,5615,5743,1,0],[0,5620,5748,1,0],[1,5743,5871,1,0],[0,5748,5876,1,0],[1,5871,5999,1,0],[0,5876,6004,1,0],[0,6004,6132,1,0],[0,6132,6260,1,0],[0,6260,6388,1,0],[0,6388,6516,1,0],[0,6516,6644,1,0],[0,6644,6772,1,0]],[[0,2,130,1,0],[1,77,205,1,0],[0,130,258,1,0],[1,205,333,1,0],[0,258,386,1,0],[1,333,461,1,0],[0,386,514,1,0],[1,461,589,1,0],[0,514,642,1,0],[1,589,717,1,0],[0,642,770,1,0],[1,717,845,1,0],[0,787,915,1,0],[0,915,1043,1,0],[0,1043,1171,1,0],[0,1171,1299,1,0],[0,1299,1427,1,0],[0,1427,1555,1,0],[1,1555,1683,1,0],[1,1683,1811,1,0],[1,1811,1939,1,0],[1,1939,2067,1,0],[1,2067,2195,1,0],[1,2195,2323,1,0],[1,2323,2451,1,0],[1,2451,2579,1,0],[0,2465,2593,1,0],[1,2579,2707,1,0],[0,2593,2721,1,0],[0,2721,2849,1,0],[0,2849,2977,1,0],[0,2977,3105,1,0],[0,3105,3233,1,0],[1,3233,3361,1,0],[0,3294,3422,1,0],[1,3361,3489,1,0],[0,3422,3550,1,0],[1,3489,3617,1,0],[0,3550,3678,1,0],[1,3617,3745,1,0],[0,3678,3806,1,0],[1,3745,3873,1,0],[0,3878,4006,1,0],[0,4006,4134,1,0],[0,4134,4262,1,0],[1,4262,4390,1,0],[0,4263,4391,1,0],[1,4390,4518,1,0],[1,4518,4646,1,0],[1,4646,4774,1,0],[1,4774,4902,1,0],[1,4902,5030,1,0],[0,5035,5163,1,0],[0,5163,5291,1,0],[0,5291,5419,1,0],[0,5419,5547,1,0],[1,5547,5675,1,0],[1,5675,5803,1,0],[1,5803,5931,1,0],[1,5931,6059,1,0],[0,5991,6063,1,0],[1,6059,6187,1,0],[0,6134,6262,1,0],[1,6187,6315,1,0],[0,6262,6390,1,0],[1,6315,6443,1,0],[0,6390,6518,1,0],[0,6518,6646,1,0],[0,6646,6774,1,0],[0,6774,6902,1,0],[0,6902,6974,1,0],[0,6975,7047,1,0],[0,7047,7119,1,0],[0,7119,7191,1,0],[0,7191,7263,1,0],[1,7263,7391,1,0],[1,7391,7519,1,0],[1,7519,7647,1,0],[1,7647,7775,1,0],[1,7775,7903,1,0],[1,7903,8031,1,0],[1,8031,8159,1,0]],[[0,24,152,1,0],[1,77,205,1,0],[0,152,280,1,0],[1,205,333,1,0],[0,280,408,1,0],[1,333,461,1,0],[0,408,536,1,0],[1,461,589,1,0],[0,536,664,1,0],[1,589,717,1,0],[0,664,792,1,0],[1,717,845,1,0],[0,792,920,1,0],[1,1010,1138,1,0],[1,1138,1266,1,0],[1,1266,1394,1,0],[1,1763,1891,1,0],[1,1891,2019,1,0],[0,1946,2066,1,0],[1,2019,2147,1,0],[0,2066,2186,1,0],[1,2147,2275,1,0],[0,2186,2306,1,0],[1,2275,2403,1,0],[0,2306,2426,1,0],[1,2403,2531,1,0],[0,2426,2546,1,0],[1,2531,2659,1,0],[0,2546,2666,1,0],[1,2659,2787,1,0],[0,2666,2786,1,0],[1,2787,2915,1,0],[0,2815,2935,1,0],[1,2915,3043,1,0],[0,2935,3055,1,0],[0,3055,3175,1,0],[1,3063,3191,1,0],[0,3175,3295,1,0],[1,3191,3319,1,0],[0,3295,3415,1,0],[1,3319,3447,1,0],[0,3415,3535,1,0],[1,3447,3575,1,0],[0,3535,3655,1,0],[1,3575,3703,1,0],[1,3703,3831,1,0],[1,3831,3959,1,0],[0,4381,4501,1,0],[0,4501,4621,1,0],[0,4621,4741,1,0],[0,4741,4861,1,0],[0,4861,4981,1,0],[0,4981,5101,1,0],[0,5101,5221,1,0],[0,5221,5341,1,0],[0,5341,5461,1,0],[0,5461,5581,1,0],[1,5527,5655,1,0],[0,5581,5701,1,0],[1,5655,5783,1,0],[0,5701,5821,1,0],[1,5783,5911,1,0],[0,5821,5941,1,0],[1,5911,6039,1,0],[0,5941,6061,1,0],[1,6039,6167,1,0],[0,6061,6181,1,0],[1,6167,6295,1,0],[0,6181,6301,1,0],[1,6295,6423,1,0],[0,6301,6421,1,0],[0,6421,6541,1,0],[0,6541,6661,1,0],[1,6635,6763,1,0],[0,6661,6781,1,0],[1,6765,6893,1,0],[0,6781,6901,1,0],[1,6893,7021,1,0],[0,6901,7021,1,0],[1,7021,7149,1,0],[0,7021,7141,1,0],[0,7141,7261,1,0],[1,7149,7277,1,0],[0,7261,7381,1,0],[1,7277,7405,1,0],[0,7381,7501,1,0],[0,7501,7621,1,0],[0,7621,7741,1,0],[0,7741,7861,1,0],[0,7861,7981,1,0],[0,7981,8101,1,0],[0,8101,8221,1,0],[1,8123,8251,1,0],[0,8221,8341,1,0],[1,8251,8379,1,0],[0,8341,8461,1,0],[1,8379,8507,1,0],[0,8461,8581,1,0],[1,8507,8635,1,0],[1,8635,8763,1,0],[1,8763,8891,1,0],[1,8891,9019,1,0]],[[0,18,138,1,0],[1,77,205,1,0],[0,138,258,1,0],[1,205,333,1,0],[0,258,378,1,0],[1,333,461,1,0],[0,378,498,1,0],[1,461,589,1,0],[0,498,618,1,0],[1,589,717,1,0],[0,618,738,1,0],[1,717,845,1,0],[0,738,858,1,0],[1,845,973,1,0],[0,968,1088,1,0],[1,973,1101,1,0],[0,1088,1208,1,0],[1,1101,1229,1,0],[0,1208,1328,1,0],[1,1229,1357,1,0],[0,1328,1448,1,0],[1,1357,1485,1,0],[0,1448,1568,1,0],[1,1485,1613,1,0],[0,1568,1688,1,0],[0,1688,1808,1,0],[1,1727,1855,1,0],[1,1855,1983,1,0],[1,1983,2111,1,0],[1,2111,2239,1,0],[0,2148,2268,1,0],[1,2239,2367,1,0],[0,2268,2388,1,0],[1,2367,2495,1,0],[0,2388,2508,1,0],[1,2495,2623,1,0],[0,2508,2628,1,0],[0,2628,2748,1,0],[0,2748,2868,1,0],[0,2868,2988,1,0],[0,2988,3116,1,0],[0,3116,3244,1,0],[0,3244,3372,1,0],[1,3294,3422,1,0],[0,3372,3500,1,0],[1,3422,3550,1,0],[0,3500,3628,1,0],[1,3550,3678,1,0],[0,3628,3756,1,0],[1,3678,3806,1,0],[0,3756,3884,1,0],[1,3806,3934,1,0],[1,3934,4062,1,0],[1,4062,4190,1,0],[1,4190,4318,1,0],[1,4318,4446,1,0],[1,4446,4574,1,0],[1,4574,4702,1,0],[1,4702,4830,1,0],[1,4830,4958,1,0],[0,5329,5449,1,0],[1,5404,5532,1,0],[0,5449,5569,1,0],[1,5532,5660,1,0],[0,5569,5689,1,0],[1,5660,5788,1,0],[0,5689,5809,1,0],[1,5788,5916,1,0],[0,5910,6030,1,0],[1,5916,6044,1,0],[0,6030,6150,1,0],[1,6044,6172,1,0],[0,6150,6270,1,0],[0,6270,6390,1,0],[0,6390,6510,1,0],[0,6510,6630,1,0],[0,6630,6750,1,0],[1,6659,6787,1,0],[0,6750,6870,1,0],[0,6870,6990,1,0],[0,6990,7110,1,0],[0,7110,7230,1,0],[1,7175,7303,1,0],[0,7230,7350,1,0],[1,7303,7431,1,0],[0,7350,7470,1,0],[1,7431,7559,1,0],[0,7470,7590,1,0],[1,7559,7687,1,0],[0,7590,7710,1,0],[1,7687,7815,1,0],[0,7710,7830,1,0],[1,7815,7943,1,0],[0,7830,7950,1,0],[1,7943,8071,1,0],[0,8263,8383,1,0],[0,8383,8503,1,0],[0,8503,8623,1,0],[0,8623,8743,1,0],[0,8743,8863,1,0],[0,8863,8983,1,0],[0,8983,9103,1,0]],[[0,23,151,1,0],[1,77,205,1,0],[0,151,279,1,0],[1,205,333,1,0],[0,279,407,1,0],[1,333,461,1,0],[0,407,535,1,0],[1,461,589,1,0],[0,535,663,1,0],[1,589,717,1,0],[0,663,791,1,0],[1,717,845,1,0],[0,791,919,1,0],[1,1011,1139,1,0],[1,1139,1267,1,0],[1,1267,1395,1,0],[1,1763,1891,1,0],[1,1893,2021,1,0],[0,1943,2063,1,0],[1,2021,2149,1,0],[0,2063,2183,1,0],[1,2149,2277,1,0],[0,2183,2303,1,0],[1,2277,2405,1,0],[0,2303,2423,1,0],[1,2405,2533,1,0],[0,2423,2543,1,0],[1,2533,2661,1,0],[0,2543,2663,1,0],[1,2661,2789,1,0],[0,2663,2783,1,0],[1,2789,2917,1,0],[0,2814,2934,1,0],[1,2917,3045,1,0],[0,2934,3054,1,0],[0,3054,3174,1,0],[0,3174,3294,1,0],[0,3294,3414,1,0],[0,3414,3534,1,0],[0,3534,3654,1,0],[1,3882,4010,1,0],[1,4010,4138,1,0],[1,4138,4266,1,0],[1,4266,4394,1,0],[0,4382,4502,1,0],[1,4394,4522,1,0],[0,4502,4622,1,0],[1,4522,4650,1,0],[0,4622,4742,1,0],[1,4650,4778,1,0],[0,4742,4862,1,0],[0,4862,4982,1,0],[0,4982,5102,1,0],[0,5102,5222,1,0],[0,5222,5342,1,0],[0,5342,5462,1,0],[0,5462,5582,1,0],[1,5551,5679,1,0],[0,5582,5702,1,0],[1,5679,5807,1,0],[0,5702,5822,1,0],[1,5807,5935,1,0],[0,5822,5942,1,0],[1,5935,6063,1,0],[0,5942,6062,1,0],[0,6062,6182,1,0],[1,6063,6191,1,0],[0,6182,6302,1,0],[1,6191,6319,1,0],[0,6302,6422,1,0],[0,6422,6542,1,0],[0,6542,6662,1,0],[1,6637,6765,1,0],[0,6662,6782,1,0],[1,6767,6895,1,0],[0,6782,6902,1,0],[1,6895,7023,1,0],[0,6902,7022,1,0],[0,7022,7142,1,0],[1,7023,7151,1,0],[0,7142,7262,1,0],[1,7151,7279,1,0],[0,7262,7382,1,0],[1,7279,7407,1,0],[0,7382,7502,1,0],[1,7407,7535,1,0],[0,7502,7622,1,0],[0,7622,7742,1,0],[0,7742,7862,1,0],[0,7862,7982,1,0],[0,7982,8102,1,0],[0,8102,8222,1,0],[1,8109,8237,1,0],[0,8222,8342,1,0],[1,8237,8365,1,0],[0,8342,8462,1,0],[1,8365,8493,1,0],[0,8462,8582,1,0],[1,8493,8621,1,0],[1,8621,8749,1,0],[1,8749,8877,1,0],[1,8877,9005,1,0]],[[0,19,139,1,0],[1,77,205,1,0],[0,139,259,1,0],[1,205,333,1,0],[0,259,379,1,0],[1,333,461,1,0],[0,379,499,1,0],[1,461,589,1,0],[0,499,619,1,0],[1,589,717,1,0],[0,619,739,1,0],[1,717,845,1,0],[0,739,859,1,0],[1,845,973,1,0],[0,967,1087,1,0],[1,973,1101,1,0],[0,1087,1207,1,0],[1,1101,1229,1,0],[0,1207,1327,1,0],[1,1229,1357,1,0],[0,1327,1447,1,0],[1,1357,1485,1,0],[0,1447,1567,1,0],[1,1485,1613,1,0],[0,1567,1687,1,0],[0,1687,1807,1,0],[1,1726,1854,1,0],[1,1854,1982,1,0],[1,1982,2110,1,0],[1,2110,2238,1,0],[0,2155,2275,1,0],[1,2238,2366,1,0],[0,2275,2395,1,0],[1,2366,2494,1,0],[0,2395,2515,1,0],[1,2494,2622,1,0],[0,2515,2635,1,0],[0,2635,2755,1,0],[0,2755,2875,1,0],[0,2875,2995,1,0],[0,3100,3228,1,0],[0,3228,3356,1,0],[1,3294,3422,1,0],[0,3356,3484,1,0],[1,3422,3550,1,0],[0,3484,3612,1,0],[1,3550,3678,1,0],[0,3612,3740,1,0],[1,3678,3806,1,0],[0,3740,3868,1,0],[1,3806,3934,1,0],[0,3868,3996,1,0],[1,3934,4062,1,0],[1,4062,4190,1,0],[1,4190,4318,1,0],[1,4318,4446,1,0],[1,4446,4574,1,0],[1,4574,4702,1,0],[1,4702,4830,1,0],[1,4830,4958,1,0],[0,5333,5453,1,0],[1,5403,5531,1,0],[0,5453,5573,1,0],[1,5531,5659,1,0],[0,5573,5693,1,0],[1,5661,5789,1,0],[0,5693,5813,1,0],[1,5789,5917,1,0],[0,5813,5933,1,0],[1,5917,6045,1,0],[0,5975,6095,1,0],[1,6045,6173,1,0],[0,6095,6215,1,0],[0,6215,6335,1,0],[0,6335,6455,1,0],[0,6455,6575,1,0],[1,6485,6613,1,0],[0,6575,6695,1,0],[1,6613,6741,1,0],[0,6695,6815,1,0],[1,6741,6869,1,0],[0,6815,6935,1,0],[0,6935,7055,1,0],[0,7055,7175,1,0],[0,7175,7295,1,0],[0,7295,7415,1,0],[0,7415,7535,1,0],[0,7535,7655,1,0],[0,7655,7775,1,0],[1,7768,7896,1,0],[0,7775,7895,1,0],[1,7896,8024,1,0],[1,8024,8152,1,0],[1,8152,8280,1,0],[1,8280,8408,1,0],[0,8644,8764,1,0],[0,8764,8884,1,0],[0,8884,9004,1,0],[0,9004,9124,1,0],[0,9124,9244,1,0],[0,9244,9364,1,0],[0,9364,9484,1,0]],[[0,24,144,1,0],[1,77,205,1,0],[0,144,264,1,0],[1,205,333,1,0],[0,264,384,1,0],[1,333,461,1,0],[0,386,506,1,0],[1,461,589,1,0],[0,506,626,1,0],[1,589,717,1,0],[0,626,746,1,0],[1,717,845,1,0],[0,746,866,1,0],[1,845,973,1,0],[0,1043,1163,1,0],[0,1163,1283,1,0],[0,1283,1403,1,0],[0,1403,1523,1,0],[0,1523,1643,1,0],[0,1643,1763,1,0],[0,1763,1883,1,0],[0,1883,2003,1,0],[0,2003,2123,1,0],[1,2074,2202,1,0],[0,2123,2243,1,0],[1,2202,2330,1,0],[0,2243,2363,1,0],[1,2330,2458,1,0],[0,2363,2483,1,0],[1,2458,2586,1,0],[0,2483,2603,1,0],[1,2586,2714,1,0],[0,2603,2723,1,0],[1,2714,2842,1,0],[1,2842,2970,1,0],[1,2970,3098,1,0],[0,3581,3701,1,0],[0,3701,3821,1,0],[0,3845,3965,1,0],[1,3893,4021,1,0],[0,3965,4085,1,0],[1,4021,4149,1,0],[0,4085,4205,1,0],[1,4149,4277,1,0],[0,4205,4325,1,0],[1,4277,4405,1,0],[0,4325,4445,1,0],[1,4405,4533,1,0],[0,4445,4565,1,0],[1,4533,4661,1,0],[0,4565,4685,1,0],[1,4661,4789,1,0],[0,4685,4805,1,0],[1,4789,4917,1,0],[0,4805,4925,1,0],[1,4917,5045,1,0],[0,4925,5045,1,0],[0,5045,5165,1,0],[0,5165,5285,1,0],[1,5285,5413,1,0],[0,5357,5477,1,0],[1,5413,5541,1,0],[0,5477,5597,1,0],[0,5597,5717,1,0],[0,5717,5837,1,0],[0,5837,5957,1,0],[1,5924,6052,1,0],[0,5957,6077,1,0],[1,6052,6180,1,0],[0,6077,6197,1,0],[1,6180,6308,1,0],[0,6197,6317,1,0],[1,6308,6436,1,0],[0,6317,6437,1,0],[1,6436,6564,1,0],[0,6437,6557,1,0],[0,6557,6677,1,0],[1,6564,6692,1,0],[0,6677,6797,1,0],[0,6797,6917,1,0],[0,6917,7037,1,0],[1,7253,7381,1,0],[1,7381,7509,1,0],[1,7509,7637,1,0],[1,7637,7765,1,0],[1,7765,7893,1,0],[1,7893,8021,1,0],[1,8021,8149,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,317,437,1,0],[1,437,557,1,0],[1,557,677,1,0],[0,562,682,1,0],[1,677,797,1,0],[0,682,802,1,0],[1,797,917,1,0],[0,802,922,1,0],[1,917,1037,1,0],[0,922,1042,1,0],[1,1037,1157,1,0],[0,1042,1162,1,0],[1,1157,1277,1,0],[0,1162,1282,1,0],[1,1277,1397,1,0],[0,1282,1402,1,0],[1,1397,1517,1,0],[0,1402,1522,1,0],[1,1517,1637,1,0],[0,1522,1642,1,0],[1,1637,1757,1,0],[0,1642,1762,1,0],[0,1762,1882,1,0],[0,1882,2002,1,0],[0,2002,2130,1,0],[0,2130,2258,1,0],[0,2258,2386,1,0],[1,2315,2435,1,0],[0,2386,2514,1,0],[1,2435,2555,1,0],[0,2514,2642,1,0],[1,2555,2675,1,0],[0,2642,2770,1,0],[1,2675,2795,1,0],[1,2795,2915,1,0],[1,2915,3035,1,0],[1,3035,3155,1,0],[0,3109,3229,1,0],[0,3229,3349,1,0],[0,3349,3469,1,0],[0,3469,3589,1,0],[0,3589,3709,1,0],[0,3709,3829,1,0],[1,3829,3949,1,0],[1,3949,4069,1,0],[1,4069,4189,1,0],[1,4189,4309,1,0],[1,4309,4429,1,0],[1,4429,4549,1,0],[1,4549,4669,1,0],[0,4737,4857,1,0],[0,4857,4977,1,0],[0,4977,5097,1,0],[0,5097,5217,1,0],[0,5217,5337,1,0],[0,5337,5457,1,0],[1,5380,5500,1,0],[0,5457,5577,1,0],[1,5500,5620,1,0],[0,5577,5697,1,0],[1,5620,5740,1,0],[0,5697,5817,1,0],[1,5740,5860,1,0],[0,5817,5937,1,0],[1,5860,5980,1,0],[0,5937,6057,1,0],[1,5980,6100,1,0],[0,6057,6177,1,0],[1,6100,6220,1,0],[1,6220,6340,1,0],[0,6303,6423,1,0],[0,6423,6543,1,0],[0,6543,6663,1,0],[0,6663,6783,1,0],[0,6783,6903,1,0],[0,6903,7023,1,0],[1,6929,7049,1,0],[1,7049,7169,1,0],[1,7169,7289,1,0],[1,7289,7409,1,0]],[[0,23,143,1,0],[1,77,205,1,0],[0,143,263,1,0],[1,205,333,1,0],[0,263,383,1,0],[1,333,461,1,0],[0,383,503,1,0],[1,461,589,1,0],[0,503,623,1,0],[1,589,717,1,0],[0,623,743,1,0],[1,717,845,1,0],[0,743,863,1,0],[1,845,973,1,0],[0,1041,1161,1,0],[0,1161,1281,1,0],[0,1281,1401,1,0],[0,1401,1521,1,0],[0,1521,1641,1,0],[0,1641,1761,1,0],[0,1761,1881,1,0],[0,1881,2001,1,0],[0,2001,2121,1,0],[1,2073,2201,1,0],[0,2121,2241,1,0],[1,2201,2329,1,0],[0,2241,2361,1,0],[1,2329,2457,1,0],[0,2361,2481,1,0],[1,2457,2585,1,0],[0,2481,2601,1,0],[1,2585,2713,1,0],[0,2601,2721,1,0],[1,2713,2841,1,0],[1,2841,2969,1,0],[1,2969,3097,1,0],[0,3581,3701,1,0],[0,3701,3821,1,0],[0,3846,3966,1,0],[1,3895,4023,1,0],[0,3966,4086,1,0],[1,4023,4151,1,0],[0,4086,4206,1,0],[1,4151,4279,1,0],[0,4206,4326,1,0],[1,4279,4407,1,0],[0,4326,4446,1,0],[1,4407,4535,1,0],[0,4446,4566,1,0],[1,4535,4663,1,0],[0,4566,4686,1,0],[1,4663,4791,1,0],[0,4686,4806,1,0],[1,4791,4919,1,0],[0,4806,4926,1,0],[1,4919,5047,1,0],[0,4926,5046,1,0],[0,5046,5166,1,0],[0,5166,5286,1,0],[1,5286,5414,1,0],[0,5358,5478,1,0],[1,5414,5542,1,0],[0,5478,5598,1,0],[0,5598,5718,1,0],[0,5718,5838,1,0],[0,5838,5958,1,0],[1,5923,6051,1,0],[0,5958,6078,1,0],[1,6051,6179,1,0],[0,6078,6198,1,0],[1,6179,6307,1,0],[0,6198,6318,1,0],[1,6307,6435,1,0],[0,6318,6438,1,0],[1,6435,6563,1,0],[0,6438,6558,1,0],[0,6558,6678,1,0],[1,6563,6691,1,0],[0,6678,6798,1,0],[0,6798,6918,1,0],[0,6918,7038,1,0],[1,7255,7383,1,0],[1,7383,7511,1,0],[1,7511,7639,1,0],[1,7639,7767,1,0],[1,7767,7895,1,0],[1,7895,8023,1,0],[1,8023,8151,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,317,437,1,0],[1,437,557,1,0],[1,557,677,1,0],[0,562,682,1,0],[1,677,797,1,0],[0,682,802,1,0],[1,797,917,1,0],[0,802,922,1,0],[1,917,1037,1,0],[0,922,1042,1,0],[1,1037,1157,1,0],[0,1042,1162,1,0],[1,1157,1277,1,0],[0,1162,1282,1,0],[1,1277,1397,1,0],[0,1282,1402,1,0],[1,1397,1517,1,0],[0,1402,1522,1,0],[1,1517,1637,1,0],[0,1522,1642,1,0],[1,1637,1757,1,0],[0,1642,1762,1,0],[0,1762,1882,1,0],[0,1882,2002,1,0],[0,2002,2130,1,0],[0,2130,2258,1,0],[0,2258,2386,1,0],[1,2312,2432,1,0],[0,2386,2514,1,0],[1,2432,2552,1,0],[0,2514,2642,1,0],[1,2552,2672,1,0],[0,2642,2770,1,0],[1,2672,2792,1,0],[1,2792,2912,1,0],[1,2912,3032,1,0],[1,3032,3152,1,0],[0,3107,3227,1,0],[0,3227,3347,1,0],[0,3347,3467,1,0],[0,3467,3587,1,0],[0,3587,3707,1,0],[0,3707,3827,1,0],[1,4142,4262,1,0],[1,4262,4382,1,0],[1,4382,4502,1,0],[1,4502,4622,1,0],[1,4622,4742,1,0],[1,4742,4862,1,0],[1,4862,4982,1,0],[0,4987,5107,1,0],[0,5107,5227,1,0],[0,5227,5347,1,0],[0,5347,5467,1,0],[1,5378,5498,1,0],[0,5467,5587,1,0],[1,5498,5618,1,0],[0,5587,5707,1,0],[1,5618,5738,1,0],[0,5707,5827,1,0],[0,5827,5947,1,0],[0,5947,6067,1,0],[0,6067,6187,1,0],[0,6187,6307,1,0],[0,6307,6427,1,0],[1,6512,6632,1,0],[1,6632,6752,1,0],[1,6752,6872,1,0],[1,6872,6992,1,0],[1,6992,7112,1,0],[0,7030,7150,1,0],[0,7150,7270,1,0],[1,7181,7301,1,0],[0,7270,7390,1,0],[1,7301,7421,1,0],[0,7390,7510,1,0],[1,7421,7541,1,0],[0,7510,7630,1,0],[1,7541,7661,1,0],[0,7630,7750,1,0]],[[0,24,144,1,0],[1,77,197,1,0],[0,144,264,1,0],[1,197,317,1,0],[0,322,442,1,0],[0,442,562,1,0],[0,562,682,1,0],[0,682,802,1,0],[0,802,922,1,0],[0,922,1042,1,0],[1,1027,1147,1,0],[1,1147,1267,1,0],[1,1267,1387,1,0],[1,1387,1507,1,0],[1,1507,1627,1,0],[0,1632,1752,1,0],[0,1752,1872,1,0],[0,1872,1992,1,0],[0,1992,2112,1,0],[1,2112,2232,1,0],[0,2113,2233,1,0],[1,2232,2352,1,0],[0,2233,2353,1,0],[1,2352,2472,1,0],[1,2472,2592,1,0],[1,2592,2712,1,0],[1,2712,2832,1,0],[1,2832,2952,1,0],[0,2957,3077,1,0],[0,3077,3197,1,0],[0,3197,3317,1,0],[0,3317,3437,1,0],[0,3437,3557,1,0],[0,3557,3677,1,0],[0,3677,3797,1,0],[0,3797,3917,1,0],[0,3917,4037,1,0],[0,4037,4157,1,0],[1,4157,4277,1,0],[0,4158,4278,1,0],[1,4277,4397,1,0],[0,4278,4398,1,0],[1,4397,4517,1,0],[0,4402,4522,1,0],[1,4517,4637,1,0],[0,4522,4642,1,0],[1,4637,4757,1,0],[0,4642,4762,1,0],[1,4757,4877,1,0],[0,4762,4882,1,0],[1,4882,5002,1,0],[0,4883,5011,1,0],[1,5002,5122,1,0],[0,5011,5139,1,0],[1,5122,5242,1,0],[1,5242,5362,1,0],[1,5362,5482,1,0],[1,5482,5602,1,0],[0,5607,5735,1,0],[0,5735,5863,1,0],[0,5863,5991,1,0],[0,5991,6119,1,0],[1,6119,6239,1,0],[0,6120,6240,1,0],[1,6239,6359,1,0],[0,6240,6360,1,0],[1,6359,6479,1,0],[1,6479,6599,1,0],[1,6599,6719,1,0],[1,6719,6839,1,0],[1,6839,6959,1,0],[0,6964,7084,1,0],[0,7084,7204,1,0],[0,7204,7324,1,0],[0,7324,7444,1,0],[1,7444,7564,1,0],[1,7564,7684,1,0],[1,7684,7804,1,0],[1,7804,7924,1,0],[1,7924,8044,1,0],[1,8044,8164,1,0],[1,8164,8284,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,985,1105,1,0],[1,1105,1225,1,0],[1,1225,1345,1,0],[1,1345,1465,1,0],[1,1465,1585,1,0],[1,1585,1705,1,0],[1,1705,1825,1,0],[1,1825,1945,1,0],[1,1945,2065,1,0],[1,2065,2185,1,0],[1,2185,2305,1,0],[1,2305,2425,1,0],[1,2921,3041,1,0],[1,3041,3161,1,0],[1,3161,3281,1,0],[1,3281,3401,1,0],[1,3575,3695,1,0],[1,3695,3815,1,0],[1,3815,3935,1,0],[1,3935,4055,1,0],[1,4055,4175,1,0],[1,4175,4295,1,0],[1,4295,4415,1,0],[1,5289,5409,1,0],[1,5409,5529,1,0],[1,5529,5649,1,0],[1,5649,5769,1,0],[1,5769,5889,1,0],[1,5889,6009,1,0],[1,6009,6129,1,0],[1,6129,6249,1,0],[1,6249,6369,1,0],[1,6369,6489,1,0],[1,6489,6609,1,0],[1,6609,6729,1,0],[1,6729,6849,1,0],[1,6849,6969,1,0],[1,7293,7413,1,0],[1,7413,7533,1,0],[1,7533,7653,1,0],[1,7653,7773,1,0],[1,7773,7893,1,0],[1,7893,8013,1,0],[1,8013,8133,1,0]],[[0,23,143,1,0],[1,77,197,1,0],[0,143,263,1,0],[1,197,317,1,0],[0,322,442,1,0],[0,442,562,1,0],[0,562,682,1,0],[0,682,802,1,0],[0,802,922,1,0],[0,922,1042,1,0],[1,1028,1148,1,0],[1,1148,1268,1,0],[1,1268,1388,1,0],[1,1388,1508,1,0],[1,1508,1628,1,0],[0,1633,1753,1,0],[0,1753,1873,1,0],[0,1873,1993,1,0],[0,1993,2113,1,0],[1,2113,2233,1,0],[0,2114,2234,1,0],[1,2233,2353,1,0],[0,2234,2354,1,0],[1,2353,2473,1,0],[1,2473,2593,1,0],[1,2593,2713,1,0],[1,2713,2833,1,0],[1,2833,2953,1,0],[0,2958,3078,1,0],[0,3078,3198,1,0],[0,3198,3318,1,0],[0,3318,3438,1,0],[0,3438,3558,1,0],[0,3558,3678,1,0],[0,3678,3798,1,0],[0,3798,3918,1,0],[0,3918,4038,1,0],[0,4038,4158,1,0],[1,4158,4278,1,0],[0,4159,4279,1,0],[1,4278,4398,1,0],[0,4279,4399,1,0],[1,4398,4518,1,0],[0,4403,4523,1,0],[1,4518,4638,1,0],[0,4523,4643,1,0],[1,4638,4758,1,0],[0,4643,4763,1,0],[1,4758,4878,1,0],[0,4763,4883,1,0],[1,4883,5003,1,0],[0,4885,5013,1,0],[1,5003,5123,1,0],[0,5013,5141,1,0],[1,5123,5243,1,0],[1,5243,5363,1,0],[1,5363,5483,1,0],[1,5483,5603,1,0],[0,5608,5736,1,0],[0,5736,5864,1,0],[0,5864,5992,1,0],[0,5992,6120,1,0],[1,6120,6240,1,0],[0,6121,6241,1,0],[1,6240,6360,1,0],[0,6241,6361,1,0],[1,6360,6480,1,0],[1,6480,6600,1,0],[1,6600,6720,1,0],[1,6720,6840,1,0],[1,6840,6960,1,0],[0,6965,7085,1,0],[0,7085,7205,1,0],[0,7205,7325,1,0],[0,7325,7445,1,0],[1,7445,7565,1,0],[1,7565,7685,1,0],[1,7685,7805,1,0],[1,7805,7925,1,0],[1,7925,8045,1,0],[1,8045,8165,1,0],[1,8165,8285,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,984,1104,1,0],[1,1104,1224,1,0],[1,1224,1344,1,0],[1,1344,1464,1,0],[1,1464,1584,1,0],[1,1584,1704,1,0],[1,1704,1824,1,0],[1,1824,1944,1,0],[1,1944,2064,1,0],[1,2064,2184,1,0],[1,2184,2304,1,0],[1,2304,2424,1,0],[1,2918,3038,1,0],[1,3038,3158,1,0],[1,3158,3278,1,0],[1,3278,3398,1,0],[1,3575,3695,1,0],[1,3695,3815,1,0],[1,3815,3935,1,0],[1,3935,4055,1,0],[1,4055,4175,1,0],[1,4175,4295,1,0],[1,4295,4415,1,0],[1,5289,5409,1,0],[1,5409,5529,1,0],[1,5529,5649,1,0],[1,5649,5769,1,0],[1,5769,5889,1,0],[1,5889,6009,1,0],[1,6009,6129,1,0],[1,6129,6249,1,0],[1,6249,6369,1,0],[1,6369,6489,1,0],[1,6489,6609,1,0],[1,6609,6729,1,0],[1,6729,6849,1,0],[1,6849,6969,1,0],[1,7292,7412,1,0],[1,7412,7532,1,0],[1,7532,7652,1,0],[1,7652,7772,1,0],[1,7772,7892,1,0],[1,7892,8012,1,0],[1,8012,8132,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,971,1091,1,0],[1,1091,1211,1,0],[1,1211,1331,1,0],[1,1331,1451,1,0],[1,1481,1601,1,0],[1,1601,1721,1,0],[1,1721,1841,1,0],[1,1841,1961,1,0],[1,1961,2081,1,0],[1,2081,2201,1,0],[1,2847,2967,1,0],[1,2967,3087,1,0],[1,3087,3207,1,0],[1,3207,3327,1,0],[1,3327,3447,1,0],[1,3447,3567,1,0],[1,3567,3687,1,0],[1,3949,4069,1,0],[1,4069,4189,1,0],[1,4189,4309,1,0],[1,4309,4429,1,0],[1,4429,4549,1,0],[1,4549,4669,1,0],[1,4669,4789,1,0],[1,4789,4909,1,0],[1,4909,5029,1,0],[1,5029,5149,1,0],[1,5149,5269,1,0],[1,5269,5389,1,0],[1,5389,5509,1,0],[1,5509,5629,1,0],[1,6116,6236,1,0],[1,6236,6356,1,0],[1,6356,6476,1,0],[1,6476,6596,1,0],[1,6596,6716,1,0],[1,6716,6836,1,0],[1,6836,6956,1,0],[1,6956,7076,1,0],[1,7076,7196,1,0],[1,7196,7316,1,0],[1,7316,7436,1,0],[1,7436,7556,1,0],[1,7556,7676,1,0]],[[1,1362,1482,1,0],[1,1482,1602,1,0],[1,1602,1722,1,0],[1,1722,1842,1,0],[1,1842,1962,1,0],[1,1962,2082,1,0],[1,2207,2327,1,0],[1,2327,2447,1,0],[1,2447,2567,1,0],[1,2567,2687,1,0],[1,2687,2807,1,0],[1,2807,2927,1,0],[1,2927,3047,1,0],[1,3047,3167,1,0],[1,3167,3287,1,0],[1,3287,3407,1,0],[1,3407,3527,1,0],[1,3527,3647,1,0],[1,3647,3767,1,0],[1,3767,3887,1,0],[1,4753,4873,1,0],[1,4873,4993,1,0],[1,4993,5113,1,0],[1,5113,5233,1,0],[1,5233,5353,1,0],[1,5593,5713,1,0],[1,5713,5833,1,0],[1,5833,5953,1,0],[1,5953,6073,1,0],[1,6073,6193,1,0],[1,6193,6313,1,0],[1,6313,6433,1,0],[1,6433,6553,1,0],[1,6553,6673,1,0],[1,6673,6793,1,0],[1,6793,6913,1,0],[1,6913,7033,1,0],[1,7033,7153,1,0],[1,7153,7273,1,0],[1,7578,7698,1,0],[1,9078,9198,1,0],[1,9198,9318,1,0],[1,9318,9438,1,0],[1,9438,9558,1,0],[1,9558,9678,1,0],[1,9678,9798,1,0]],[[1,77,197,1,0],[1,197,317,1,0],[1,972,1092,1,0],[1,1092,1212,1,0],[1,1212,1332,1,0],[1,1332,1452,1,0],[1,1482,1602,1,0],[1,1602,1722,1,0],[1,1722,1842,1,0],[1,1842,1962,1,0],[1,1962,2082,1,0],[1,2082,2202,1,0],[1,2847,2967,1,0],[1,2967,3087,1,0],[1,3087,3207,1,0],[1,3207,3327,1,0],[1,3327,3447,1,0],[1,3447,3567,1,0],[1,3567,3687,1,0],[1,3949,4069,1,0],[1,4069,4189,1,0],[1,4189,4309,1,0],[1,4309,4429,1,0],[1,4429,4549,1,0],[1,4549,4669,1,0],[1,4669,4789,1,0],[1,4789,4909,1,0],[1,4909,5029,1,0],[1,5029,5149,1,0],[1,5149,5269,1,0],[1,5269,5389,1,0],[1,5389,5509,1,0],[1,5509,5629,1,0],[1,6118,6238,1,0],[1,6238,6358,1,0],[1,6358,6478,1,0],[1,6478,6598,1,0],[1,6598,6718,1,0],[1,6718,6838,1,0],[1,6838,6958,1,0],[1,6958,7078,1,0],[1,7078,7198,1,0],[1,7198,7318,1,0],[1,7318,7438,1,0],[1,7438,7558,1,0],[1,7558,7678,1,0]],[[1,330,450,1,0],[1,450,570,1,0],[1,1481,1601,1,0],[1,1601,1721,1,0],[1,1721,1841,1,0],[1,1841,1961,1,0],[1,2201,2321,1,0],[1,2321,2441,1,0],[1,2441,2561,1,0],[1,2561,2681,1,0],[1,2681,2801,1,0],[1,2801,2921,1,0],[1,2921,3041,1,0],[1,3041,3161,1,0],[1,3161,3281,1,0],[1,3281,3401,1,0],[1,3401,3521,1,0],[1,3521,3641,1,0],[1,4817,4937,1,0],[1,4937,5057,1,0],[1,5057,5177,1,0],[1,5177,5297,1,0],[1,5297,5417,1,0],[1,5417,5537,1,0],[1,5537,5657,1,0],[1,5657,5777,1,0],[1,5777,5897,1,0],[1,5897,6017,1,0],[1,6017,6137,1,0],[1,6137,6257,1,0],[1,6257,6377,1,0],[1,6377,6497,1,0],[1,6982,7102,1,0],[1,7102,7222,1,0],[1,7222,7342,1,0],[1,7342,7462,1,0],[1,7462,7582,1,0],[1,7582,7702,1,0],[1,7702,7822,1,0],[1,8065,8185,1,0],[1,9565,9685,1,0],[1,9685,9805,1,0],[1,9805,9925,1,0],[1,9925,10045,1,0],[1,10045,10165,1,0],[1,10165,10285,1,0]],[[0,31,159,1,0],[1,79,207,1,0],[0,159,287,1,0],[1,207,335,1,0],[0,287,415,1,0],[1,335,463,1,0],[0,415,543,1,0],[1,463,591,1,0],[0,543,671,1,0],[1,591,719,1,0],[0,671,799,1,0],[0,799,927,1,0],[1,927,1055,1,0],[1,1055,1183,1,0],[0,1162,1290,1,0],[1,1183,1311,1,0],[0,1290,1418,1,0],[1,1311,1439,1,0],[0,1418,1546,1,0],[1,1439,1567,1,0],[0,1546,1674,1,0],[1,1567,1695,1,0],[0,1674,1802,1,0],[1,1695,1823,1,0],[0,1802,1930,1,0],[0,1930,2058,1,0],[1,2058,2186,1,0],[0,2165,2293,1,0],[1,2186,2314,1,0],[0,2293,2421,1,0],[1,2314,2442,1,0],[0,2421,2549,1,0],[1,2442,2570,1,0],[0,2549,2677,1,0],[1,2570,2698,1,0],[0,2677,2805,1,0],[1,2698,2826,1,0],[0,2805,2933,1,0],[0,2933,3061,1,0],[1,3061,3189,1,0],[0,3061,3189,1,0],[1,3189,3317,1,0],[0,3189,3317,1,0],[1,3317,3445,1,0],[0,3317,3445,1,0],[0,3445,3573,1,0],[1,3445,3573,1,0],[0,3573,3701,1,0],[1,3573,3701,1,0],[0,3701,3829,1,0],[0,3829,3957,1,0],[1,3957,4085,1,0],[0,4022,4150,1,0],[1,4085,4213,1,0],[0,4150,4278,1,0],[1,4213,4341,1,0],[0,4278,4406,1,0],[1,4341,4469,1,0],[0,4406,4534,1,0],[1,4469,4597,1,0],[0,4534,4662,1,0],[1,4597,4725,1,0],[0,4662,4790,1,0],[1,4725,4853,1,0],[1,4853,4981,1,0],[1,4981,5109,1,0],[0,5023,5151,1,0],[1,5109,5237,1,0],[0,5242,5370,1,0],[1,5370,5498,1,0],[1,5498,5626,1,0],[1,5626,5754,1,0],[1,5754,5882,1,0],[1,5882,6010,1,0],[0,6008,6136,1,0],[1,6010,6138,1,0],[0,6136,6264,1,0],[0,6264,6392,1,0],[0,6392,6520,1,0],[0,6520,6648,1,0],[0,6648,6776,1,0],[0,6970,7050,1,0],[0,7050,7130,1,0],[0,7130,7210,1,0],[0,7419,7499,1,0],[0,7499,7579,1,0],[0,7579,7659,1,0],[0,7659,7739,1,0]],[[0,12,140,1,0],[1,79,207,1,0],[0,140,268,1,0],[1,207,335,1,0],[0,268,396,1,0],[1,335,463,1,0],[0,396,524,1,0],[1,463,591,1,0],[0,524,652,1,0],[1,591,719,1,0],[0,652,780,1,0],[0,780,908,1,0],[1,908,1036,1,0],[1,1036,1164,1,0],[0,1159,1287,1,0],[1,1164,1292,1,0],[0,1287,1415,1,0],[1,1292,1420,1,0],[0,1415,1543,1,0],[1,1420,1548,1,0],[0,1543,1671,1,0],[1,1548,1676,1,0],[0,1671,1799,1,0],[1,1676,1804,1,0],[1,1804,1932,1,0],[1,1932,2060,1,0],[0,1978,2106,1,0],[0,2106,2234,1,0],[1,2234,2362,1,0],[0,2255,2383,1,0],[1,2362,2490,1,0],[0,2383,2511,1,0],[1,2490,2618,1,0],[0,2511,2639,1,0],[1,2618,2746,1,0],[0,2639,2767,1,0],[1,2746,2874,1,0],[0,2767,2895,1,0],[1,2874,3002,1,0],[1,3002,3130,1,0],[0,3016,3144,1,0],[1,3130,3258,1,0],[0,3144,3272,1,0],[0,3272,3400,1,0],[0,3400,3528,1,0],[1,3400,3528,1,0],[0,3528,3656,1,0],[1,3528,3656,1,0],[0,3656,3784,1,0],[1,3656,3784,1,0],[0,3784,3912,1,0],[1,3784,3912,1,0],[0,3912,4040,1,0],[0,4040,4168,1,0],[1,4168,4296,1,0],[0,4417,4497,1,0],[0,4497,4577,1,0],[0,4760,4840,1,0],[0,4840,4920,1,0],[0,4920,5000,1,0],[0,5000,5080,1,0],[0,5080,5160,1,0],[1,5242,5370,1,0],[1,5370,5498,1,0],[0,5391,5519,1,0],[1,5498,5626,1,0],[0,5519,5647,1,0],[1,5626,5754,1,0],[0,5647,5775,1,0],[1,5754,5882,1,0],[0,5775,5903,1,0],[1,5882,6010,1,0],[0,5903,6031,1,0],[1,6010,6138,1,0],[0,6031,6159,1,0],[0,6159,6287,1,0],[0,6287,6415,1,0],[1,6288,6416,1,0],[0,6415,6543,1,0],[1,6416,6544,1,0],[0,6543,6671,1,0],[1,6544,6672,1,0],[0,6671,6799,1,0],[1,6672,6800,1,0],[0,6799,6927,1,0],[1,6800,6928,1,0],[0,6927,7055,1,0],[0,7055,7183,1,0]],[[0,32,160,1,0],[1,79,207,1,0],[0,160,288,1,0],[1,207,335,1,0],[0,288,416,1,0],[1,335,463,1,0],[0,416,544,1,0],[1,463,591,1,0],[0,544,672,1,0],[1,591,719,1,0],[0,672,800,1,0],[0,800,928,1,0],[1,928,1056,1,0],[1,1056,1184,1,0],[0,1162,1290,1,0],[1,1184,1312,1,0],[0,1290,1418,1,0],[1,1312,1440,1,0],[0,1418,1546,1,0],[1,1440,1568,1,0],[0,1546,1674,1,0],[1,1568,1696,1,0],[0,1674,1802,1,0],[1,1696,1824,1,0],[0,1802,1930,1,0],[0,1930,2058,1,0],[1,2058,2186,1,0],[0,2165,2293,1,0],[1,2186,2314,1,0],[0,2293,2421,1,0],[1,2314,2442,1,0],[0,2421,2549,1,0],[1,2442,2570,1,0],[0,2549,2677,1,0],[1,2570,2698,1,0],[0,2677,2805,1,0],[1,2698,2826,1,0],[0,2805,2933,1,0],[0,2933,3061,1,0],[1,3061,3189,1,0],[0,3061,3189,1,0],[1,3189,3317,1,0],[0,3189,3317,1,0],[1,3317,3445,1,0],[0,3317,3445,1,0],[0,3445,3573,1,0],[1,3570,3698,1,0],[0,3573,3701,1,0],[0,3701,3829,1,0],[0,3829,3957,1,0],[1,3957,4085,1,0],[0,4022,4150,1,0],[1,4085,4213,1,0],[0,4150,4278,1,0],[1,4213,4341,1,0],[0,4278,4406,1,0],[1,4341,4469,1,0],[0,4406,4534,1,0],[1,4469,4597,1,0],[0,4534,4662,1,0],[1,4597,4725,1,0],[0,4662,4790,1,0],[1,4725,4853,1,0],[1,4853,4981,1,0],[1,4981,5109,1,0],[0,5020,5148,1,0],[1,5109,5237,1,0],[0,5148,5276,1,0],[1,5237,5365,1,0],[0,5370,5498,1,0],[1,5498,5626,1,0],[1,5626,5754,1,0],[1,5754,5882,1,0],[1,5882,6010,1,0],[1,6010,6138,1,0],[0,6136,6264,1,0],[1,6138,6266,1,0],[0,6264,6392,1,0],[0,6392,6520,1,0],[0,6520,6648,1,0],[0,6648,6776,1,0],[0,7012,7092,1,0],[0,7092,7172,1,0],[0,7172,7252,1,0],[0,7461,7541,1,0],[0,7541,7621,1,0],[0,7621,7701,1,0],[0,7701,7781,1,0]],[[0,11,139,1,0],[1,79,207,1,0],[0,139,267,1,0],[1,207,335,1,0],[0,267,395,1,0],[1,335,463,1,0],[0,395,523,1,0],[1,463,591,1,0],[0,523,651,1,0],[1,591,719,1,0],[0,651,779,1,0],[0,779,907,1,0],[1,907,1035,1,0],[1,1035,1163,1,0],[0,1159,1287,1,0],[1,1163,1291,1,0],[0,1287,1415,1,0],[1,1291,1419,1,0],[0,1415,1543,1,0],[1,1419,1547,1,0],[0,1543,1671,1,0],[1,1547,1675,1,0],[0,1671,1799,1,0],[1,1675,1803,1,0],[1,1803,1931,1,0],[1,1931,2059,1,0],[0,1979,2107,1,0],[0,2107,2235,1,0],[1,2235,2363,1,0],[0,2254,2382,1,0],[1,2363,2491,1,0],[0,2382,2510,1,0],[1,2491,2619,1,0],[0,2510,2638,1,0],[1,2619,2747,1,0],[0,2638,2766,1,0],[1,2747,2875,1,0],[0,2766,2894,1,0],[1,2875,3003,1,0],[1,3003,3131,1,0],[0,3019,3147,1,0],[1,3131,3259,1,0],[0,3147,3275,1,0],[0,3275,3403,1,0],[0,3403,3531,1,0],[1,3403,3531,1,0],[0,3531,3659,1,0],[1,3531,3659,1,0],[0,3659,3787,1,0],[1,3659,3787,1,0],[0,3787,3915,1,0],[1,3787,3915,1,0],[0,3915,4043,1,0],[0,4043,4171,1,0],[1,4171,4299,1,0],[0,4414,4494,1,0],[0,4494,4574,1,0],[0,4574,4654,1,0],[0,4836,4916,1,0],[0,4916,4996,1,0],[0,4996,5076,1,0],[0,5076,5156,1,0],[1,5246,5374,1,0],[1,5374,5502,1,0],[0,5393,5521,1,0],[1,5502,5630,1,0],[0,5521,5649,1,0],[1,5630,5758,1,0],[0,5649,5777,1,0],[1,5758,5886,1,0],[0,5777,5905,1,0],[1,5886,6014,1,0],[0,5905,6033,1,0],[1,6014,6142,1,0],[0,6033,6161,1,0],[0,6161,6289,1,0],[0,6289,6417,1,0],[1,6290,6418,1,0],[0,6417,6545,1,0],[1,6418,6546,1,0],[0,6545,6673,1,0],[1,6546,6674,1,0],[0,6673,6801,1,0],[1,6674,6802,1,0],[0,6801,6929,1,0],[1,6802,6930,1,0],[0,6929,7057,1,0],[0,7057,7185,1,0]],[[0,3,131,1,0],[1,79,207,1,0],[0,131,259,1,0],[1,207,335,1,0],[0,259,387,1,0],[1,335,463,1,0],[0,387,515,1,0],[1,463,591,1,0],[0,515,643,1,0],[1,591,719,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,898,1026,1,0],[0,1026,1154,1,0],[0,1154,1282,1,0],[1,1182,1310,1,0],[0,1282,1410,1,0],[1,1310,1438,1,0],[0,1410,1538,1,0],[1,1438,1566,1,0],[0,1538,1666,1,0],[1,1566,1694,1,0],[0,1666,1794,1,0],[1,1694,1822,1,0],[1,1822,1950,1,0],[1,1950,2078,1,0],[0,1968,2096,1,0],[0,2096,2224,1,0],[1,2102,2230,1,0],[1,2230,2358,1,0],[0,2252,2380,1,0],[1,2358,2486,1,0],[0,2380,2508,1,0],[1,2486,2614,1,0],[0,2508,2636,1,0],[1,2614,2742,1,0],[1,2742,2870,1,0],[1,2870,2998,1,0],[0,2892,3020,1,0],[1,2998,3126,1,0],[0,3020,3148,1,0],[1,3126,3254,1,0],[0,3148,3276,1,0],[0,3276,3404,1,0],[0,3404,3484,1,0],[0,3484,3564,1,0],[0,3564,3644,1,0],[0,3826,3906,1,0],[1,3850,3978,1,0],[0,3906,3986,1,0],[0,3986,4066,1,0],[0,4066,4146,1,0],[0,4146,4274,1,0],[0,4274,4402,1,0],[1,4360,4488,1,0],[0,4402,4530,1,0],[1,4488,4616,1,0],[0,4530,4658,1,0],[1,4616,4744,1,0],[0,4658,4786,1,0],[0,4786,4914,1,0],[0,4914,5042,1,0],[1,5244,5372,1,0],[1,5372,5500,1,0],[0,5385,5513,1,0],[1,5500,5628,1,0],[0,5513,5641,1,0],[1,5628,5756,1,0],[0,5641,5769,1,0],[1,5756,5884,1,0],[0,5769,5897,1,0],[1,5884,6012,1,0],[0,5897,6025,1,0],[1,6012,6140,1,0],[0,6025,6153,1,0],[0,6153,6281,1,0],[1,6281,6409,1,0],[0,6285,6413,1,0],[1,6409,6537,1,0],[0,6413,6541,1,0],[1,6537,6665,1,0],[0,6541,6669,1,0],[1,6665,6793,1,0],[0,6669,6797,1,0],[1,6793,6921,1,0],[0,6797,6925,1,0],[0,6925,7053,1,0],[0,7053,7181,1,0]],[[0,12,140,1,0],[1,79,207,1,0],[0,140,268,1,0],[1,207,335,1,0],[0,268,396,1,0],[1,335,463,1,0],[0,396,524,1,0],[1,463,591,1,0],[0,524,652,1,0],[1,591,719,1,0],[0,652,780,1,0],[1,719,847,1,0],[0,780,908,1,0],[1,847,975,1,0],[0,908,1036,1,0],[0,1036,1164,1,0],[0,1164,1292,1,0],[0,1292,1420,1,0],[0,1420,1548,1,0],[1,1528,1656,1,0],[1,1656,1784,1,0],[1,1784,1912,1,0],[1,1912,2040,1,0],[1,2040,2168,1,0],[0,2091,2171,1,0],[0,2171,2251,1,0],[0,2251,2331,1,0],[0,2331,2411,1,0],[0,2411,2491,1,0],[0,2491,2571,1,0],[1,3112,3240,1,0],[1,3240,3368,1,0],[1,3368,3496,1,0],[1,3496,3624,1,0],[0,3501,3629,1,0],[1,3624,3752,1,0],[1,3752,3880,1,0],[1,3880,4008,1,0],[0,3886,4014,1,0],[0,4014,4142,1,0],[1,4075,4203,1,0],[0,4142,4270,1,0],[1,4203,4331,1,0],[0,4270,4398,1,0],[1,4331,4459,1,0],[0,4398,4526,1,0],[1,4459,4587,1,0],[0,4526,4654,1,0],[1,4587,4715,1,0],[0,4654,4782,1,0],[1,4715,4843,1,0],[0,4782,4910,1,0],[0,4910,5038,1,0],[0,5038,5166,1,0],[0,5166,5294,1,0],[0,5294,5422,1,0],[1,5413,5541,1,0],[0,5422,5550,1,0],[1,5541,5669,1,0],[0,5550,5678,1,0],[1,5669,5797,1,0],[0,5678,5806,1,0],[1,5797,5925,1,0],[0,5806,5934,1,0],[1,5925,6053,1,0],[0,5934,6062,1,0],[1,6053,6181,1,0],[0,6062,6190,1,0],[1,6181,6309,1,0],[1,6309,6437,1,0],[0,6331,6459,1,0],[1,6445,6573,1,0],[0,6459,6587,1,0],[1,6573,6701,1,0],[0,6587,6715,1,0],[1,6701,6829,1,0],[0,6715,6843,1,0],[1,6829,6957,1,0],[0,6843,6971,1,0],[1,6957,7085,1,0],[1,7085,7213,1,0],[1,7213,7341,1,0]],[[0,2,130,1,0],[1,79,207,1,0],[0,130,258,1,0],[1,207,335,1,0],[0,258,386,1,0],[1,335,463,1,0],[0,386,514,1,0],[1,463,591,1,0],[0,514,642,1,0],[1,591,719,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,895,1023,1,0],[0,1023,1151,1,0],[0,1151,1279,1,0],[1,1185,1313,1,0],[0,1279,1407,1,0],[1,1313,1441,1,0],[0,1407,1535,1,0],[1,1441,1569,1,0],[0,1535,1663,1,0],[1,1569,1697,1,0],[0,1663,1791,1,0],[1,1697,1825,1,0],[1,1825,1953,1,0],[1,1953,2081,1,0],[0,1969,2097,1,0],[0,2097,2225,1,0],[1,2102,2230,1,0],[1,2230,2358,1,0],[0,2252,2380,1,0],[1,2358,2486,1,0],[0,2380,2508,1,0],[1,2486,2614,1,0],[0,2508,2636,1,0],[1,2614,2742,1,0],[1,2742,2870,1,0],[1,2870,2998,1,0],[0,2892,3020,1,0],[1,2998,3126,1,0],[0,3020,3148,1,0],[1,3126,3254,1,0],[0,3148,3276,1,0],[0,3276,3404,1,0],[0,3404,3484,1,0],[0,3484,3564,1,0],[0,3564,3644,1,0],[0,3644,3724,1,0],[0,3724,3804,1,0],[0,3804,3884,1,0],[0,3884,3964,1,0],[1,3964,4092,1,0],[0,4082,4210,1,0],[0,4210,4338,1,0],[0,4338,4466,1,0],[1,4356,4484,1,0],[0,4466,4594,1,0],[1,4484,4612,1,0],[0,4594,4722,1,0],[1,4612,4740,1,0],[0,4722,4850,1,0],[0,4850,4978,1,0],[1,5243,5371,1,0],[1,5371,5499,1,0],[0,5384,5512,1,0],[1,5499,5627,1,0],[0,5512,5640,1,0],[1,5627,5755,1,0],[0,5640,5768,1,0],[1,5755,5883,1,0],[0,5768,5896,1,0],[1,5883,6011,1,0],[0,5896,6024,1,0],[1,6011,6139,1,0],[0,6024,6152,1,0],[0,6152,6280,1,0],[1,6280,6408,1,0],[0,6286,6414,1,0],[1,6408,6536,1,0],[0,6414,6542,1,0],[1,6536,6664,1,0],[0,6542,6670,1,0],[1,6664,6792,1,0],[0,6670,6798,1,0],[1,6792,6920,1,0],[0,6798,6926,1,0],[0,6926,7054,1,0],[0,7054,7182,1,0]],[[0,11,139,1,0],[1,79,207,1,0],[0,139,267,1,0],[1,207,335,1,0],[0,267,395,1,0],[1,335,463,1,0],[0,395,523,1,0],[1,463,591,1,0],[0,523,651,1,0],[1,591,719,1,0],[0,651,779,1,0],[1,719,847,1,0],[0,779,907,1,0],[1,847,975,1,0],[0,907,1035,1,0],[0,1035,1163,1,0],[0,1163,1291,1,0],[0,1291,1419,1,0],[0,1419,1547,1,0],[1,1531,1659,1,0],[1,1659,1787,1,0],[1,1787,1915,1,0],[1,1915,2043,1,0],[1,2043,2171,1,0],[0,2094,2174,1,0],[0,2174,2254,1,0],[0,2254,2334,1,0],[0,2334,2414,1,0],[0,2414,2494,1,0],[0,2494,2574,1,0],[1,3111,3239,1,0],[1,3239,3367,1,0],[1,3367,3495,1,0],[1,3495,3623,1,0],[0,3500,3628,1,0],[1,3623,3751,1,0],[1,3751,3879,1,0],[1,3879,4007,1,0],[0,3887,4015,1,0],[0,4015,4143,1,0],[1,4072,4200,1,0],[0,4143,4271,1,0],[1,4200,4328,1,0],[0,4271,4399,1,0],[1,4328,4456,1,0],[0,4399,4527,1,0],[1,4456,4584,1,0],[0,4527,4655,1,0],[1,4584,4712,1,0],[0,4655,4783,1,0],[1,4712,4840,1,0],[0,4783,4911,1,0],[0,4911,5039,1,0],[0,5039,5167,1,0],[0,5167,5295,1,0],[0,5295,5423,1,0],[1,5414,5542,1,0],[0,5423,5551,1,0],[1,5542,5670,1,0],[0,5551,5679,1,0],[1,5670,5798,1,0],[0,5679,5807,1,0],[1,5798,5926,1,0],[0,5807,5935,1,0],[1,5926,6054,1,0],[0,5935,6063,1,0],[1,6054,6182,1,0],[0,6063,6191,1,0],[1,6182,6310,1,0],[1,6310,6438,1,0],[0,6332,6460,1,0],[1,6444,6572,1,0],[0,6460,6588,1,0],[1,6572,6700,1,0],[0,6588,6716,1,0],[1,6700,6828,1,0],[0,6716,6844,1,0],[1,6828,6956,1,0],[0,6844,6972,1,0],[1,6956,7084,1,0],[1,7084,7212,1,0],[1,7212,7340,1,0]],[[0,803,931,1,0],[1,823,951,1,0],[1,951,1079,1,0],[0,975,1055,1,0],[0,1055,1135,1,0],[1,1079,1207,1,0],[0,1135,1215,1,0],[1,1207,1335,1,0],[0,1215,1295,1,0],[0,1295,1375,1,0],[1,1335,1463,1,0],[0,1375,1455,1,0],[0,1455,1583,1,0],[1,1463,1591,1,0],[0,1583,1711,1,0],[0,1711,1839,1,0],[0,1839,1967,1,0],[0,1967,2095,1,0],[1,1985,2113,1,0],[0,2095,2223,1,0],[1,2113,2241,1,0],[0,2223,2351,1,0],[1,2241,2369,1,0],[0,2351,2479,1,0],[1,2369,2497,1,0],[0,2479,2607,1,0],[1,2497,2625,1,0],[0,2607,2735,1,0],[1,2625,2753,1,0],[0,2735,2863,1,0],[1,2938,3066,1,0],[0,3060,3188,1,0],[0,3262,3390,1,0],[1,3354,3482,1,0],[0,3390,3518,1,0],[1,3482,3610,1,0],[0,3518,3646,1,0],[1,3610,3738,1,0],[0,3646,3774,1,0],[1,3738,3866,1,0],[0,3774,3902,1,0],[1,3866,3994,1,0],[1,3994,4122,1,0],[0,4028,4156,1,0],[1,4152,4280,1,0],[0,4156,4284,1,0],[1,4280,4408,1,0],[0,4284,4412,1,0],[1,4408,4536,1,0],[0,4412,4540,1,0],[1,4536,4664,1,0],[0,4540,4668,1,0],[1,4664,4792,1,0],[0,4668,4796,1,0],[1,4792,4920,1,0],[1,4920,5048,1,0],[1,5048,5176,1,0],[0,5182,5310,1,0],[0,5310,5438,1,0],[0,5438,5566,1,0],[0,5566,5694,1,0],[0,5694,5822,1,0],[0,5822,5950,1,0],[0,5988,6116,1,0],[1,6102,6230,1,0],[0,6116,6244,1,0],[1,6230,6358,1,0],[0,6244,6372,1,0],[1,6358,6486,1,0],[0,6482,6610,1,0],[1,6486,6614,1,0],[0,6610,6738,1,0],[1,6614,6742,1,0],[0,6738,6866,1,0],[1,6742,6870,1,0],[1,6870,6998,1,0],[1,6998,7126,1,0],[1,7126,7254,1,0],[1,7254,7382,1,0],[1,7382,7510,1,0],[1,7510,7638,1,0],[1,7638,7766,1,0]],[[0,12,140,1,0],[1,79,127,1,0],[1,127,175,1,0],[0,140,268,1,0],[1,175,223,1,0],[1,223,271,1,0],[0,268,396,1,0],[1,271,319,1,0],[1,319,367,1,0],[0,396,524,1,0],[0,524,652,1,0],[0,652,780,1,0],[0,780,908,1,0],[1,991,1039,1,0],[1,1039,1119,1,0],[1,1119,1199,1,0],[0,1122,1250,1,0],[1,1199,1279,1,0],[0,1250,1378,1,0],[1,1279,1359,1,0],[1,1359,1439,1,0],[0,1378,1506,1,0],[1,1439,1519,1,0],[0,1506,1634,1,0],[1,1519,1599,1,0],[1,1599,1679,1,0],[0,1634,1762,1,0],[1,1679,1759,1,0],[1,1759,1839,1,0],[0,1762,1890,1,0],[1,1839,1919,1,0],[1,1919,1999,1,0],[0,2004,2132,1,0],[1,2132,2212,1,0],[0,2135,2263,1,0],[1,2212,2292,1,0],[0,2263,2391,1,0],[1,2292,2372,1,0],[1,2372,2452,1,0],[0,2391,2519,1,0],[1,2452,2532,1,0],[0,2519,2647,1,0],[1,2532,2612,1,0],[1,2612,2660,1,0],[0,2647,2775,1,0],[1,2660,2708,1,0],[1,2708,2756,1,0],[1,2756,2804,1,0],[0,2775,2903,1,0],[1,2804,2852,1,0],[0,2903,3031,1,0],[1,3031,3079,1,0],[1,3447,3527,1,0],[1,3527,3607,1,0],[1,3607,3687,1,0],[1,3687,3767,1,0],[1,3767,3847,1,0],[1,3847,3927,1,0],[0,3887,4015,1,0],[1,3927,4007,1,0],[1,4007,4055,1,0],[0,4015,4143,1,0],[1,4055,4103,1,0],[1,4103,4151,1,0],[0,4143,4271,1,0],[1,4204,4252,1,0],[1,4252,4300,1,0],[0,4271,4399,1,0],[1,4300,4348,1,0],[1,4348,4396,1,0],[1,4396,4476,1,0],[0,4399,4527,1,0],[1,4476,4556,1,0],[0,4527,4655,1,0],[1,4556,4636,1,0],[0,4655,4783,1,0],[0,4783,4911,1,0],[1,4785,4865,1,0],[1,4865,4945,1,0],[0,4911,5039,1,0],[1,4945,5025,1,0],[1,5025,5105,1,0],[0,5039,5167,1,0],[1,5105,5153,1,0],[1,5153,5201,1,0],[0,5167,5295,1,0],[1,5201,5249,1,0],[1,5249,5297,1,0],[0,5295,5423,1,0],[1,5297,5345,1,0],[1,5345,5393,1,0],[1,5393,5441,1,0],[0,5423,5551,1,0],[1,5441,5489,1,0],[1,5489,5537,1,0],[0,5551,5679,1,0],[1,5679,5727,1,0],[0,5680,5808,1,0],[1,5727,5775,1,0],[1,5775,5823,1,0],[0,5808,5936,1,0],[0,5936,6064,1,0],[1,5981,6029,1,0],[1,6029,6109,1,0],[0,6064,6192,1,0],[1,6109,6189,1,0],[1,6189,6269,1,0],[0,6192,6320,1,0],[1,6269,6349,1,0],[0,6320,6448,1,0],[1,6349,6429,1,0],[0,6448,6576,1,0],[1,6576,6656,1,0],[0,6579,6707,1,0],[1,6656,6736,1,0],[0,6707,6835,1,0],[1,6736,6784,1,0],[1,6784,6832,1,0],[1,6832,6880,1,0],[0,6835,6963,1,0],[1,6880,6928,1,0],[1,6928,6976,1,0],[0,6963,7091,1,0],[1,6976,7024,1,0],[1,7024,7104,1,0],[0,7091,7219,1,0],[1,7104,7184,1,0],[1,7184,7264,1,0],[0,7219,7347,1,0],[0,7347,7475,1,0],[1,7475,7555,1,0],[1,7555,7635,1,0],[0,7619,7651,1,0],[1,7635,7715,1,0],[0,7651,7683,1,0],[0,7683,7715,1,0],[1,7715,7795,1,0],[0,7718,7750,1,0],[0,7750,7782,1,0],[0,7782,7814,1,0],[0,7814,7846,1,0]],[[0,369,449,1,0],[0,449,529,1,0],[0,529,609,1,0],[0,609,689,1,0],[1,824,952,1,0],[0,843,923,1,0],[0,923,1003,1,0],[1,952,1080,1,0],[0,1003,1131,1,0],[1,1080,1208,1,0],[0,1131,1259,1,0],[1,1208,1336,1,0],[0,1259,1387,1,0],[1,1336,1464,1,0],[0,1387,1515,1,0],[1,1464,1592,1,0],[0,1515,1643,1,0],[1,1592,1720,1,0],[0,1643,1771,1,0],[1,1720,1848,1,0],[0,1771,1899,1,0],[1,1848,1976,1,0],[0,1899,2027,1,0],[1,1976,2104,1,0],[0,2027,2155,1,0],[1,2104,2232,1,0],[0,2155,2283,1,0],[1,2232,2360,1,0],[0,2283,2411,1,0],[0,2411,2539,1,0],[0,2934,3062,1,0],[1,2940,3068,1,0],[0,3062,3190,1,0],[0,3260,3388,1,0],[1,3354,3482,1,0],[0,3388,3516,1,0],[1,3482,3610,1,0],[0,3516,3644,1,0],[1,3610,3738,1,0],[0,3644,3772,1,0],[1,3738,3866,1,0],[0,3772,3900,1,0],[1,3866,3994,1,0],[1,3994,4122,1,0],[0,4026,4154,1,0],[0,4154,4282,1,0],[1,4202,4330,1,0],[0,4282,4410,1,0],[1,4330,4458,1,0],[0,4410,4538,1,0],[1,4458,4586,1,0],[0,4538,4666,1,0],[1,4586,4714,1,0],[1,4714,4842,1,0],[1,4842,4970,1,0],[1,4970,5098,1,0],[0,5183,5311,1,0],[0,5311,5439,1,0],[0,5439,5567,1,0],[0,5567,5695,1,0],[0,5695,5823,1,0],[0,5823,5951,1,0],[0,5991,6119,1,0],[1,6105,6233,1,0],[1,6233,6361,1,0],[0,6304,6432,1,0],[1,6361,6489,1,0],[0,6432,6560,1,0],[1,6489,6617,1,0],[0,6560,6688,1,0],[1,6617,6745,1,0],[0,6688,6816,1,0],[1,6745,6873,1,0],[0,6816,6944,1,0],[1,6873,7001,1,0],[1,7001,7129,1,0],[1,7129,7257,1,0],[1,7257,7385,1,0],[1,7385,7513,1,0],[1,7513,7641,1,0],[1,7641,7769,1,0],[1,7769,7897,1,0]],[[0,11,139,1,0],[1,79,127,1,0],[1,127,175,1,0],[0,139,267,1,0],[1,175,223,1,0],[1,223,271,1,0],[0,267,395,1,0],[1,271,319,1,0],[1,319,367,1,0],[0,395,523,1,0],[0,523,651,1,0],[0,651,779,1,0],[0,779,907,1,0],[1,992,1040,1,0],[1,1040,1120,1,0],[0,1118,1246,1,0],[1,1120,1200,1,0],[1,1200,1280,1,0],[0,1246,1374,1,0],[1,1280,1360,1,0],[1,1360,1440,1,0],[0,1374,1502,1,0],[1,1440,1520,1,0],[0,1502,1630,1,0],[1,1520,1600,1,0],[1,1600,1680,1,0],[0,1630,1758,1,0],[1,1680,1760,1,0],[0,1758,1886,1,0],[1,1760,1840,1,0],[1,1840,1920,1,0],[1,1920,2000,1,0],[0,2005,2133,1,0],[1,2134,2214,1,0],[0,2137,2265,1,0],[1,2214,2294,1,0],[0,2265,2393,1,0],[1,2294,2374,1,0],[1,2374,2454,1,0],[0,2393,2521,1,0],[1,2454,2534,1,0],[0,2521,2649,1,0],[1,2534,2614,1,0],[0,2649,2777,1,0],[1,2683,2731,1,0],[1,2731,2779,1,0],[0,2777,2905,1,0],[1,2779,2827,1,0],[1,2827,2875,1,0],[0,2905,3033,1,0],[1,3033,3081,1,0],[1,3081,3129,1,0],[1,3447,3527,1,0],[1,3527,3607,1,0],[1,3607,3687,1,0],[1,3687,3767,1,0],[1,3767,3847,1,0],[1,3847,3927,1,0],[0,3889,4017,1,0],[1,3927,4007,1,0],[1,4007,4055,1,0],[0,4017,4145,1,0],[1,4055,4103,1,0],[1,4103,4151,1,0],[0,4145,4273,1,0],[1,4207,4255,1,0],[1,4255,4303,1,0],[0,4273,4401,1,0],[1,4305,4353,1,0],[1,4353,4401,1,0],[0,4401,4529,1,0],[1,4403,4483,1,0],[1,4483,4563,1,0],[0,4529,4657,1,0],[1,4563,4643,1,0],[0,4657,4785,1,0],[0,4785,4913,1,0],[1,4787,4867,1,0],[1,4867,4947,1,0],[0,4913,5041,1,0],[1,4947,5027,1,0],[1,5027,5107,1,0],[0,5041,5169,1,0],[1,5107,5155,1,0],[1,5155,5203,1,0],[0,5169,5297,1,0],[1,5203,5251,1,0],[1,5251,5299,1,0],[0,5297,5425,1,0],[1,5299,5347,1,0],[1,5347,5395,1,0],[1,5395,5443,1,0],[0,5425,5553,1,0],[1,5443,5491,1,0],[1,5491,5539,1,0],[0,5553,5681,1,0],[1,5681,5729,1,0],[0,5682,5810,1,0],[1,5729,5777,1,0],[1,5778,5826,1,0],[0,5810,5938,1,0],[0,5938,6066,1,0],[1,5984,6032,1,0],[1,6032,6112,1,0],[0,6066,6194,1,0],[1,6112,6192,1,0],[0,6194,6322,1,0],[1,6196,6276,1,0],[1,6276,6356,1,0],[0,6322,6450,1,0],[1,6356,6436,1,0],[0,6450,6578,1,0],[1,6578,6658,1,0],[0,6581,6709,1,0],[1,6658,6738,1,0],[0,6709,6837,1,0],[1,6738,6786,1,0],[1,6786,6834,1,0],[1,6834,6882,1,0],[0,6837,6965,1,0],[1,6882,6930,1,0],[1,6930,6978,1,0],[0,6965,7093,1,0],[1,6978,7026,1,0],[1,7026,7106,1,0],[0,7093,7221,1,0],[1,7106,7186,1,0],[1,7186,7266,1,0],[0,7221,7349,1,0],[0,7349,7477,1,0],[1,7477,7557,1,0],[1,7557,7637,1,0],[0,7622,7654,1,0],[1,7637,7717,1,0],[0,7654,7686,1,0],[0,7686,7718,1,0],[1,7717,7797,1,0],[0,7720,7752,1,0],[0,7752,7784,1,0],[0,7784,7816,1,0],[0,7816,7848,1,0]],[[0,31,159,1,0],[1,79,207,1,0],[0,159,287,1,0],[1,207,335,1,0],[0,287,415,1,0],[1,335,463,1,0],[0,415,543,1,0],[1,463,591,1,0],[0,543,671,1,0],[1,591,719,1,0],[0,671,799,1,0],[0,799,927,1,0],[1,927,1055,1,0],[0,956,1084,1,0],[1,1055,1183,1,0],[1,1183,1311,1,0],[1,1311,1439,1,0],[0,1338,1466,1,0],[1,1439,1567,1,0],[0,1466,1594,1,0],[1,1567,1695,1,0],[0,1594,1722,1,0],[1,1695,1823,1,0],[0,1722,1850,1,0],[1,1823,1951,1,0],[0,1850,1978,1,0],[0,2019,2147,1,0],[1,2057,2185,1,0],[0,2190,2318,1,0],[0,2318,2446,1,0],[1,2320,2448,1,0],[0,2446,2574,1,0],[1,2448,2576,1,0],[0,2574,2702,1,0],[1,2576,2704,1,0],[0,2702,2830,1,0],[1,2704,2832,1,0],[0,2830,2958,1,0],[0,2958,3086,1,0],[1,3086,3214,1,0],[1,3214,3342,1,0],[1,3342,3470,1,0],[0,3408,3440,1,0],[0,3440,3472,1,0],[1,3470,3598,1,0],[0,3472,3504,1,0],[0,3504,3536,1,0],[0,3536,3568,1,0],[1,3598,3726,1,0],[1,3726,3854,1,0],[0,3729,3761,1,0],[1,3854,3982,1,0],[1,3982,4110,1,0],[0,4029,4077,1,0],[0,4115,4147,1,0],[0,4147,4195,1,0],[1,4149,4277,1,0],[0,4195,4243,1,0],[0,4243,4291,1,0],[0,4291,4339,1,0],[0,4339,4387,1,0],[0,4387,4435,1,0],[1,4435,4563,1,0],[0,4435,4563,1,0],[1,4563,4691,1,0],[0,4563,4691,1,0],[1,4691,4819,1,0],[0,4691,4819,1,0],[1,4819,4947,1,0],[0,4819,4947,1,0],[1,4947,5075,1,0],[0,4947,5075,1,0],[1,5075,5203,1,0],[0,5075,5203,1,0],[0,5208,5336,1,0],[0,5553,5681,1,0],[0,5681,5809,1,0],[0,5809,5937,1,0],[0,5937,6065,1,0],[0,6065,6193,1,0],[0,6193,6321,1,0],[0,6321,6449,1,0],[1,6449,6577,1,0],[0,6450,6578,1,0],[1,6577,6705,1,0],[0,6578,6706,1,0],[1,6705,6833,1,0],[0,6706,6834,1,0],[1,6833,6961,1,0],[0,6834,6962,1,0],[1,6961,7089,1,0],[0,6962,7090,1,0],[1,7089,7217,1,0],[0,7090,7218,1,0],[0,7222,7350,1,0]],[[0,31,159,1,0],[1,79,207,1,0],[0,159,287,1,0],[1,207,335,1,0],[0,287,415,1,0],[1,335,463,1,0],[0,415,543,1,0],[1,463,591,1,0],[0,543,671,1,0],[1,591,719,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,861,989,1,0],[0,989,1117,1,0],[0,1117,1245,1,0],[1,1185,1313,1,0],[0,1245,1373,1,0],[1,1313,1441,1,0],[0,1373,1501,1,0],[1,1441,1569,1,0],[0,1501,1629,1,0],[1,1569,1697,1,0],[0,1629,1757,1,0],[1,1697,1825,1,0],[0,1757,1885,1,0],[0,1885,2013,1,0],[1,2013,2141,1,0],[1,2141,2269,1,0],[0,2205,2333,1,0],[1,2269,2397,1,0],[0,2333,2461,1,0],[1,2397,2525,1,0],[0,2461,2589,1,0],[1,2525,2653,1,0],[1,2653,2781,1,0],[1,2781,2909,1,0],[0,2832,2960,1,0],[1,2909,3037,1,0],[0,2960,3088,1,0],[1,3037,3165,1,0],[0,3088,3216,1,0],[0,3216,3344,1,0],[0,3687,3815,1,0],[0,3815,3943,1,0],[0,3943,4071,1,0],[1,3993,4121,1,0],[1,4121,4249,1,0],[0,4165,4197,1,0],[0,4197,4229,1,0],[0,4229,4261,1,0],[0,4261,4293,1,0],[0,4293,4325,1,0],[0,4325,4357,1,0],[0,4357,4389,1,0],[0,4389,4517,1,0],[1,4389,4517,1,0],[0,4517,4645,1,0],[1,4517,4645,1,0],[0,4645,4773,1,0],[0,4773,4901,1,0],[1,4901,5029,1,0],[1,5029,5157,1,0],[1,5157,5285,1,0],[0,5274,5402,1,0],[1,5285,5413,1,0],[1,5413,5541,1,0],[0,5492,5540,1,0],[0,5540,5588,1,0],[1,5541,5669,1,0],[0,5588,5636,1,0],[0,5636,5684,1,0],[1,5669,5797,1,0],[0,5684,5732,1,0],[0,5732,5780,1,0],[0,5802,5850,1,0],[0,5850,5978,1,0],[0,5978,6106,1,0],[1,6029,6157,1,0],[0,6106,6234,1,0],[1,6157,6285,1,0],[0,6234,6362,1,0],[1,6285,6413,1,0],[0,6362,6490,1,0],[0,6490,6618,1,0],[1,6618,6746,1,0],[0,6618,6746,1,0],[1,6746,6874,1,0],[0,6746,6874,1,0],[1,6874,7002,1,0],[0,6874,7002,1,0],[0,7208,7336,1,0],[1,7312,7440,1,0],[0,7336,7464,1,0],[0,7464,7592,1,0],[0,7592,7720,1,0]],[[0,32,160,1,0],[1,79,207,1,0],[0,160,288,1,0],[1,207,335,1,0],[0,288,416,1,0],[1,335,463,1,0],[0,416,544,1,0],[1,463,591,1,0],[0,544,672,1,0],[1,591,719,1,0],[0,672,800,1,0],[0,800,928,1,0],[1,928,1056,1,0],[0,956,1084,1,0],[1,1056,1184,1,0],[1,1184,1312,1,0],[1,1312,1440,1,0],[0,1338,1466,1,0],[1,1440,1568,1,0],[0,1466,1594,1,0],[1,1568,1696,1,0],[0,1594,1722,1,0],[1,1696,1824,1,0],[0,1722,1850,1,0],[1,1824,1952,1,0],[0,1850,1978,1,0],[0,2021,2149,1,0],[1,2060,2188,1,0],[0,2193,2321,1,0],[0,2321,2449,1,0],[1,2323,2451,1,0],[0,2449,2577,1,0],[1,2451,2579,1,0],[0,2577,2705,1,0],[1,2579,2707,1,0],[0,2705,2833,1,0],[1,2707,2835,1,0],[0,2833,2961,1,0],[0,2961,3089,1,0],[1,3089,3217,1,0],[0,3089,3121,1,0],[0,3121,3153,1,0],[0,3153,3185,1,0],[0,3185,3217,1,0],[1,3217,3345,1,0],[0,3217,3249,1,0],[0,3249,3281,1,0],[1,3345,3473,1,0],[1,3473,3601,1,0],[1,3601,3729,1,0],[1,3729,3857,1,0],[1,3857,3985,1,0],[1,3985,4113,1,0],[0,4031,4079,1,0],[0,4118,4150,1,0],[0,4150,4198,1,0],[1,4152,4280,1,0],[0,4198,4246,1,0],[0,4246,4294,1,0],[0,4294,4342,1,0],[0,4342,4390,1,0],[0,4390,4438,1,0],[1,4438,4566,1,0],[0,4438,4566,1,0],[1,4566,4694,1,0],[0,4566,4694,1,0],[1,4694,4822,1,0],[0,4694,4822,1,0],[1,4822,4950,1,0],[0,4822,4950,1,0],[1,4950,5078,1,0],[0,4950,5078,1,0],[1,5078,5206,1,0],[0,5078,5206,1,0],[0,5211,5339,1,0],[0,5339,5467,1,0],[0,5467,5595,1,0],[0,5595,5723,1,0],[0,5723,5851,1,0],[0,5851,5979,1,0],[0,6126,6254,1,0],[0,6254,6382,1,0],[1,6382,6510,1,0],[0,6383,6511,1,0],[1,6510,6638,1,0],[0,6511,6639,1,0],[1,6638,6766,1,0],[0,6639,6767,1,0],[1,6766,6894,1,0],[0,6767,6895,1,0],[1,6894,7022,1,0],[0,6895,7023,1,0],[1,7022,7150,1,0],[0,7023,7151,1,0],[0,7155,7283,1,0]],[[0,32,160,1,0],[1,79,207,1,0],[0,160,288,1,0],[1,207,335,1,0],[0,288,416,1,0],[1,335,463,1,0],[0,416,544,1,0],[1,463,591,1,0],[0,544,672,1,0],[1,591,719,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,863,991,1,0],[0,991,1119,1,0],[0,1119,1247,1,0],[1,1184,1312,1,0],[0,1247,1375,1,0],[1,1312,1440,1,0],[0,1375,1503,1,0],[1,1440,1568,1,0],[0,1503,1631,1,0],[1,1568,1696,1,0],[0,1631,1759,1,0],[1,1696,1824,1,0],[0,1759,1887,1,0],[0,1887,2015,1,0],[1,2015,2143,1,0],[1,2143,2271,1,0],[0,2207,2335,1,0],[1,2271,2399,1,0],[0,2335,2463,1,0],[1,2399,2527,1,0],[0,2463,2591,1,0],[1,2527,2655,1,0],[1,2655,2783,1,0],[1,2783,2911,1,0],[0,2834,2962,1,0],[1,2911,3039,1,0],[0,2962,3090,1,0],[1,3039,3167,1,0],[0,3090,3218,1,0],[0,3218,3346,1,0],[0,3814,3942,1,0],[0,3942,4070,1,0],[1,3993,4121,1,0],[1,4121,4249,1,0],[0,4163,4195,1,0],[0,4195,4227,1,0],[0,4227,4259,1,0],[0,4259,4291,1,0],[0,4291,4323,1,0],[0,4323,4355,1,0],[0,4355,4387,1,0],[0,4387,4515,1,0],[1,4387,4515,1,0],[0,4515,4643,1,0],[1,4515,4643,1,0],[0,4643,4771,1,0],[1,4643,4771,1,0],[0,4771,4899,1,0],[0,4899,5027,1,0],[1,5027,5155,1,0],[1,5155,5283,1,0],[0,5272,5400,1,0],[1,5283,5411,1,0],[1,5411,5539,1,0],[0,5489,5537,1,0],[0,5537,5585,1,0],[1,5539,5667,1,0],[0,5585,5633,1,0],[0,5633,5681,1,0],[1,5667,5795,1,0],[0,5681,5729,1,0],[0,5729,5777,1,0],[0,5800,5848,1,0],[0,5848,5976,1,0],[0,5976,6104,1,0],[1,6025,6153,1,0],[0,6104,6232,1,0],[1,6153,6281,1,0],[0,6232,6360,1,0],[1,6281,6409,1,0],[0,6360,6488,1,0],[0,6488,6616,1,0],[1,6616,6744,1,0],[0,6616,6744,1,0],[1,6744,6872,1,0],[0,6744,6872,1,0],[1,6872,7000,1,0],[0,6872,7000,1,0],[0,7209,7337,1,0],[0,7337,7465,1,0],[1,7435,7563,1,0],[0,7465,7593,1,0],[0,7593,7721,1,0]],[[0,2,130,1,0],[1,79,207,1,0],[0,130,258,1,0],[1,207,335,1,0],[0,258,386,1,0],[1,335,463,1,0],[0,386,514,1,0],[1,463,591,1,0],[0,514,642,1,0],[1,591,719,1,0],[0,642,770,1,0],[1,719,847,1,0],[0,770,898,1,0],[0,898,1026,1,0],[0,1026,1154,1,0],[0,1154,1282,1,0],[1,1182,1310,1,0],[0,1282,1410,1,0],[1,1310,1438,1,0],[0,1410,1538,1,0],[1,1438,1566,1,0],[1,1566,1694,1,0],[0,1620,1748,1,0],[1,1694,1822,1,0],[0,1748,1876,1,0],[1,1822,1950,1,0],[0,1876,2004,1,0],[1,1950,2078,1,0],[0,2004,2132,1,0],[0,2132,2260,1,0],[1,2161,2289,1,0],[0,2260,2388,1,0],[1,2289,2417,1,0],[1,2417,2545,1,0],[1,2545,2673,1,0],[0,2552,2600,1,0],[0,2600,2648,1,0],[0,2648,2696,1,0],[1,2673,2801,1,0],[0,2696,2744,1,0],[0,2744,2792,1,0],[1,2801,2929,1,0],[1,2929,3057,1,0],[0,2969,3017,1,0],[0,3369,3497,1,0],[0,3497,3625,1,0],[0,3625,3753,1,0],[0,3753,3881,1,0],[1,3769,3897,1,0],[0,3881,4009,1,0],[1,3897,4025,1,0],[0,4009,4137,1,0],[1,4025,4153,1,0],[1,4153,4281,1,0],[1,4281,4409,1,0],[0,4301,4333,1,0],[0,4333,4365,1,0],[0,4365,4397,1,0],[0,4397,4429,1,0],[1,4409,4537,1,0],[0,4429,4461,1,0],[0,4461,4493,1,0],[0,4780,4908,1,0],[1,4841,4969,1,0],[1,4969,5097,1,0],[0,5009,5137,1,0],[1,5097,5225,1,0],[0,5137,5265,1,0],[1,5225,5353,1,0],[0,5265,5393,1,0],[1,5353,5481,1,0],[0,5393,5521,1,0],[1,5481,5609,1,0],[0,5521,5649,1,0],[1,5613,5741,1,0],[0,5649,5777,1,0],[0,5777,5905,1,0],[1,5918,6046,1,0],[1,6046,6174,1,0],[0,6110,6238,1,0],[1,6174,6302,1,0],[0,6238,6366,1,0],[1,6302,6430,1,0],[0,6366,6494,1,0],[1,6430,6558,1,0],[0,6494,6622,1,0],[1,6558,6686,1,0],[1,7399,7527,1,0]],[[0,32,160,1,0],[0,160,288,1,0],[0,288,416,1,0],[1,376,504,1,0],[0,416,544,1,0],[1,504,632,1,0],[0,544,672,1,0],[1,632,760,1,0],[0,672,800,1,0],[1,760,888,1,0],[0,800,928,1,0],[0,928,1056,1,0],[1,1033,1161,1,0],[0,1056,1184,1,0],[1,1161,1289,1,0],[0,1184,1312,1,0],[1,1289,1417,1,0],[0,1312,1440,1,0],[0,1440,1568,1,0],[1,1504,1632,1,0],[0,1888,2016,1,0],[1,1936,2064,1,0],[0,2016,2144,1,0],[1,2064,2192,1,0],[0,2144,2272,1,0],[1,2192,2320,1,0],[1,2320,2448,1,0],[1,2448,2576,1,0],[0,2528,2656,1,0],[0,2656,2784,1,0],[0,2784,2912,1,0],[1,2821,2949,1,0],[0,3019,3147,1,0],[0,3271,3399,1,0],[1,3331,3459,1,0],[0,3399,3527,1,0],[1,3459,3587,1,0],[0,3527,3655,1,0],[1,3587,3715,1,0],[0,3655,3783,1,0],[1,3715,3843,1,0],[0,3783,3911,1,0],[1,3843,3971,1,0],[0,3911,4039,1,0],[1,3971,4099,1,0],[0,4040,4168,1,0],[0,4308,4436,1,0],[1,4422,4550,1,0],[0,4436,4564,1,0],[1,4550,4678,1,0],[0,4564,4692,1,0],[1,4678,4806,1,0],[0,4692,4820,1,0],[1,4806,4934,1,0],[1,4934,5062,1,0],[1,5062,5190,1,0],[0,5138,5186,1,0],[0,5186,5234,1,0],[1,5190,5318,1,0],[0,5234,5282,1,0],[0,5282,5330,1,0],[1,5318,5446,1,0],[0,5330,5378,1,0],[0,5378,5426,1,0],[1,5446,5574,1,0],[0,5505,5537,1,0],[0,5537,5569,1,0],[0,5569,5601,1,0],[1,5574,5702,1,0],[0,5601,5633,1,0],[0,5633,5665,1,0],[0,5665,5697,1,0],[0,5697,5825,1,0],[1,5702,5830,1,0],[1,5830,5958,1,0],[1,5958,6086,1,0],[0,6000,6128,1,0],[0,6128,6256,1,0],[0,6256,6384,1,0],[0,6384,6512,1,0],[1,6436,6564,1,0],[0,6512,6640,1,0],[1,6564,6692,1,0],[1,6692,6820,1,0],[1,6820,6948,1,0],[1,6948,7076,1,0],[1,7076,7204,1,0],[1,7204,7332,1,0]],[[0,1,129,1,0],[1,81,209,1,0],[0,129,257,1,0],[1,209,337,1,0],[0,257,385,1,0],[1,337,465,1,0],[0,385,513,1,0],[1,465,593,1,0],[0,513,641,1,0],[1,593,721,1,0],[0,641,769,1,0],[1,721,849,1,0],[0,769,897,1,0],[0,897,1025,1,0],[0,1025,1153,1,0],[0,1153,1281,1,0],[1,1185,1313,1,0],[1,1313,1441,1,0],[1,1441,1569,1,0],[0,1466,1594,1,0],[1,1569,1697,1,0],[0,1594,1722,1,0],[1,1697,1825,1,0],[0,1722,1850,1,0],[1,1825,1953,1,0],[0,1850,1978,1,0],[1,1953,2081,1,0],[0,1978,2106,1,0],[0,2106,2234,1,0],[1,2162,2290,1,0],[0,2234,2362,1,0],[1,2290,2418,1,0],[0,2362,2490,1,0],[1,2418,2546,1,0],[1,2546,2674,1,0],[0,2554,2602,1,0],[0,2602,2650,1,0],[0,2650,2698,1,0],[1,2674,2802,1,0],[0,2698,2746,1,0],[0,2746,2794,1,0],[1,2802,2930,1,0],[1,2930,3058,1,0],[0,2971,3019,1,0],[0,3371,3499,1,0],[0,3499,3627,1,0],[0,3627,3755,1,0],[0,3755,3883,1,0],[1,3771,3899,1,0],[0,3883,4011,1,0],[1,3899,4027,1,0],[0,4011,4139,1,0],[1,4027,4155,1,0],[1,4155,4283,1,0],[1,4283,4411,1,0],[0,4300,4332,1,0],[0,4334,4366,1,0],[0,4366,4398,1,0],[0,4398,4430,1,0],[1,4411,4539,1,0],[0,4430,4462,1,0],[0,4462,4494,1,0],[1,4841,4969,1,0],[0,5007,5135,1,0],[0,5135,5263,1,0],[0,5263,5391,1,0],[0,5391,5519,1,0],[0,5519,5647,1,0],[0,5647,5775,1,0],[1,5775,5903,1,0],[1,5903,6031,1,0],[1,6031,6159,1,0],[0,6113,6241,1,0],[1,6159,6287,1,0],[0,6241,6369,1,0],[1,6287,6415,1,0],[0,6369,6497,1,0],[1,6415,6543,1,0],[0,6497,6625,1,0],[0,6625,6753,1,0],[0,6753,6881,1,0],[1,6881,7009,1,0],[1,7009,7137,1,0],[1,7137,7265,1,0],[1,7265,7393,1,0],[1,7393,7521,1,0],[1,7521,7649,1,0],[1,7649,7777,1,0]],[[0,33,161,1,0],[0,161,289,1,0],[0,289,417,1,0],[1,374,502,1,0],[0,417,545,1,0],[1,502,630,1,0],[0,545,673,1,0],[1,630,758,1,0],[0,673,801,1,0],[1,758,886,1,0],[0,801,929,1,0],[0,931,1059,1,0],[1,1033,1161,1,0],[0,1059,1187,1,0],[1,1161,1289,1,0],[0,1187,1315,1,0],[1,1289,1417,1,0],[0,1315,1443,1,0],[0,1443,1571,1,0],[1,1501,1629,1,0],[0,1887,2015,1,0],[1,1934,2062,1,0],[0,2015,2143,1,0],[1,2062,2190,1,0],[0,2143,2271,1,0],[1,2190,2318,1,0],[1,2318,2446,1,0],[1,2446,2574,1,0],[0,2527,2655,1,0],[0,2655,2783,1,0],[0,2783,2911,1,0],[1,2824,2952,1,0],[0,3020,3148,1,0],[0,3275,3403,1,0],[1,3334,3462,1,0],[0,3403,3531,1,0],[1,3462,3590,1,0],[0,3531,3659,1,0],[1,3590,3718,1,0],[0,3659,3787,1,0],[1,3718,3846,1,0],[0,3787,3915,1,0],[1,3846,3974,1,0],[0,3915,4043,1,0],[1,3974,4102,1,0],[0,4043,4171,1,0],[0,4310,4438,1,0],[1,4424,4552,1,0],[0,4438,4566,1,0],[1,4552,4680,1,0],[0,4566,4694,1,0],[1,4680,4808,1,0],[0,4694,4822,1,0],[1,4808,4936,1,0],[1,4936,5064,1,0],[1,5064,5192,1,0],[0,5136,5184,1,0],[0,5184,5232,1,0],[1,5192,5320,1,0],[0,5232,5280,1,0],[0,5280,5328,1,0],[1,5320,5448,1,0],[0,5328,5376,1,0],[0,5376,5424,1,0],[1,5448,5576,1,0],[0,5500,5532,1,0],[0,5532,5564,1,0],[0,5564,5596,1,0],[1,5576,5704,1,0],[0,5596,5628,1,0],[0,5628,5660,1,0],[0,5660,5692,1,0],[0,5692,5820,1,0],[1,5704,5832,1,0],[1,5832,5960,1,0],[1,5960,6088,1,0],[0,6001,6129,1,0],[0,6129,6257,1,0],[0,6257,6385,1,0],[0,6385,6513,1,0],[1,6434,6562,1,0],[0,6513,6641,1,0],[1,6562,6690,1,0],[1,6690,6818,1,0],[1,6818,6946,1,0],[1,6946,7074,1,0],[1,7074,7202,1,0],[1,7202,7330,1,0]],[[0,31,159,1,0],[1,79,175,1,0],[0,159,287,1,0],[1,175,271,1,0],[1,271,367,1,0],[0,287,415,1,0],[1,367,463,1,0],[0,415,543,1,0],[1,463,559,1,0],[0,543,671,1,0],[1,559,655,1,0],[1,655,751,1,0],[0,671,799,1,0],[0,799,927,1,0],[1,981,1013,1,0],[1,1013,1045,1,0],[0,1033,1161,1,0],[1,1045,1077,1,0],[1,1077,1109,1,0],[1,1109,1141,1,0],[1,1141,1173,1,0],[0,1161,1289,1,0],[1,1173,1269,1,0],[1,1269,1365,1,0],[0,1289,1417,1,0],[1,1365,1461,1,0],[0,1417,1545,1,0],[1,1461,1557,1,0],[0,1545,1673,1,0],[1,1557,1653,1,0],[1,1653,1749,1,0],[0,1673,1801,1,0],[0,1801,1929,1,0],[1,1929,2025,1,0],[0,1951,2079,1,0],[1,2025,2121,1,0],[0,2079,2207,1,0],[1,2121,2217,1,0],[0,2207,2335,1,0],[1,2217,2313,1,0],[1,2313,2409,1,0],[0,2335,2463,1,0],[1,2409,2505,1,0],[0,2463,2591,1,0],[1,2505,2601,1,0],[0,2591,2719,1,0],[1,2601,2697,1,0],[0,2719,2847,1,0],[1,2847,2943,1,0],[0,2849,2977,1,0],[1,2943,3039,1,0],[0,2977,3105,1,0],[1,3039,3135,1,0],[0,3105,3233,1,0],[1,3135,3231,1,0],[1,3231,3327,1,0],[0,3233,3361,1,0],[1,3327,3359,1,0],[1,3359,3391,1,0],[0,3361,3489,1,0],[1,3391,3423,1,0],[1,3423,3455,1,0],[1,3455,3487,1,0],[1,3487,3519,1,0],[0,3489,3617,1,0],[0,3617,3745,1,0],[0,3745,3873,1,0],[0,3873,4001,1,0],[0,4001,4129,1,0],[0,4129,4257,1,0],[1,4183,4215,1,0],[1,4215,4247,1,0],[1,4247,4279,1,0],[0,4257,4385,1,0],[1,4279,4311,1,0],[1,4311,4343,1,0],[1,4343,4375,1,0],[1,4375,4407,1,0],[0,4385,4513,1,0],[1,4407,4439,1,0],[1,4439,4471,1,0],[1,4471,4503,1,0],[1,4503,4535,1,0],[1,4535,4567,1,0],[1,4567,4599,1,0],[1,4599,4631,1,0],[0,4636,4764,1,0],[1,4764,4860,1,0],[0,4765,4893,1,0],[1,4860,4956,1,0],[0,4893,5021,1,0],[1,4956,5052,1,0],[0,5021,5149,1,0],[1,5052,5148,1,0],[1,5148,5244,1,0],[0,5149,5277,1,0],[1,5244,5340,1,0],[0,5277,5405,1,0],[1,5340,5436,1,0],[0,5405,5533,1,0],[1,5436,5468,1,0],[1,5468,5500,1,0],[1,5500,5532,1,0],[1,5532,5564,1,0],[1,5564,5596,1,0],[1,5596,5628,1,0],[0,5633,5761,1,0],[1,5761,5857,1,0],[1,5857,5953,1,0],[1,5953,6049,1,0],[1,6049,6145,1,0],[1,6145,6241,1,0],[1,6241,6337,1,0],[1,6435,6467,1,0],[1,6617,6649,1,0],[1,6649,6681,1,0],[1,6681,6713,1,0],[0,7158,7270,1,0],[0,7479,7591,1,0],[0,7591,7703,1,0],[1,7630,7662,1,0],[1,7662,7694,1,0],[1,7694,7726,1,0],[0,7703,7815,1,0],[1,7726,7758,1,0],[1,7758,7790,1,0],[1,7790,7822,1,0],[0,7815,7927,1,0],[1,7822,7854,1,0],[1,7854,7886,1,0],[1,7886,7918,1,0],[1,7918,7950,1,0],[0,7927,8039,1,0],[0,8039,8151,1,0]],[[0,12,140,1,0],[1,79,207,1,0],[0,140,268,1,0],[1,207,335,1,0],[0,268,396,1,0],[1,335,463,1,0],[0,396,524,1,0],[1,463,591,1,0],[0,524,652,1,0],[1,591,719,1,0],[0,652,780,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,980,1108,1,0],[0,1108,1236,1,0],[1,1110,1238,1,0],[0,1236,1364,1,0],[1,1238,1366,1,0],[0,1364,1492,1,0],[1,1366,1494,1,0],[0,1492,1620,1,0],[1,1494,1622,1,0],[0,1620,1748,1,0],[1,1622,1750,1,0],[0,1748,1876,1,0],[0,1876,2004,1,0],[1,2004,2132,1,0],[0,2004,2132,1,0],[1,2132,2260,1,0],[0,2132,2260,1,0],[0,2260,2388,1,0],[0,2388,2516,1,0],[0,2516,2644,1,0],[1,2566,2694,1,0],[0,2644,2772,1,0],[0,2772,2900,1,0],[1,2900,3028,1,0],[0,2900,3028,1,0],[1,3028,3156,1,0],[0,3028,3156,1,0],[1,3156,3284,1,0],[0,3156,3284,1,0],[1,3284,3412,1,0],[0,3284,3412,1,0],[1,3412,3540,1,0],[0,3412,3540,1,0],[0,3540,3668,1,0],[0,3668,3796,1,0],[1,3796,3924,1,0],[1,3924,4052,1,0],[1,4052,4180,1,0],[1,4180,4308,1,0],[1,4308,4436,1,0],[1,4436,4564,1,0],[1,4564,4692,1,0],[0,4565,4661,1,0],[1,4692,4820,1,0],[1,4820,4948,1,0],[0,4822,4918,1,0],[0,4918,5014,1,0],[1,4948,5076,1,0],[0,5014,5110,1,0],[1,5076,5204,1,0],[0,5110,5206,1,0],[0,5206,5302,1,0],[0,5302,5398,1,0],[1,5398,5526,1,0],[0,5402,5514,1,0],[0,5514,5626,1,0],[0,5626,5738,1,0],[1,5641,5769,1,0],[0,5738,5850,1,0],[1,5769,5897,1,0],[0,5850,5962,1,0],[1,5897,6025,1,0],[0,5962,6074,1,0],[0,6074,6186,1,0],[0,6186,6314,1,0],[1,6186,6314,1,0],[0,6314,6442,1,0],[1,6314,6442,1,0],[1,6442,6570,1,0],[1,6570,6698,1,0],[0,6635,6763,1,0],[0,6763,6891,1,0],[0,6891,7019,1,0],[0,7019,7147,1,0],[0,7147,7275,1,0]],[[0,32,160,1,0],[1,79,175,1,0],[0,160,288,1,0],[1,175,271,1,0],[1,271,367,1,0],[0,290,418,1,0],[1,367,463,1,0],[0,418,546,1,0],[1,463,559,1,0],[0,546,674,1,0],[1,559,655,1,0],[1,655,751,1,0],[0,674,802,1,0],[0,802,930,1,0],[1,930,962,1,0],[1,962,994,1,0],[1,994,1026,1,0],[1,1026,1058,1,0],[0,1037,1165,1,0],[1,1058,1090,1,0],[1,1090,1122,1,0],[1,1122,1218,1,0],[0,1165,1293,1,0],[1,1218,1314,1,0],[0,1293,1421,1,0],[1,1314,1410,1,0],[1,1410,1506,1,0],[0,1421,1549,1,0],[1,1506,1602,1,0],[0,1549,1677,1,0],[1,1602,1698,1,0],[0,1677,1805,1,0],[1,1698,1794,1,0],[0,1805,1933,1,0],[1,1933,2029,1,0],[0,1954,2082,1,0],[1,2029,2125,1,0],[0,2082,2210,1,0],[1,2125,2221,1,0],[0,2210,2338,1,0],[1,2221,2317,1,0],[1,2317,2413,1,0],[0,2338,2466,1,0],[1,2413,2509,1,0],[0,2466,2594,1,0],[1,2509,2605,1,0],[0,2594,2722,1,0],[1,2605,2701,1,0],[0,2722,2850,1,0],[1,2850,2946,1,0],[1,2946,3042,1,0],[1,3042,3138,1,0],[0,3061,3189,1,0],[1,3138,3234,1,0],[0,3189,3317,1,0],[1,3234,3266,1,0],[1,3266,3298,1,0],[1,3298,3330,1,0],[0,3317,3445,1,0],[1,3330,3362,1,0],[1,3362,3394,1,0],[1,3394,3426,1,0],[0,3445,3573,1,0],[0,3573,3701,1,0],[0,3701,3829,1,0],[0,3829,3957,1,0],[0,3957,4085,1,0],[0,4085,4213,1,0],[0,4213,4341,1,0],[1,4220,4252,1,0],[1,4252,4284,1,0],[1,4284,4316,1,0],[1,4316,4348,1,0],[0,4341,4469,1,0],[1,4348,4380,1,0],[1,4380,4412,1,0],[1,4412,4444,1,0],[1,4444,4476,1,0],[0,4469,4597,1,0],[1,4476,4508,1,0],[1,4508,4540,1,0],[1,4540,4572,1,0],[1,4572,4604,1,0],[0,4597,4725,1,0],[1,4604,4636,1,0],[1,4636,4668,1,0],[1,4668,4764,1,0],[1,4764,4860,1,0],[0,4814,4942,1,0],[0,4951,5079,1,0],[1,5079,5175,1,0],[0,5080,5208,1,0],[1,5175,5271,1,0],[0,5208,5336,1,0],[1,5271,5367,1,0],[0,5336,5464,1,0],[1,5367,5463,1,0],[1,5463,5559,1,0],[0,5464,5592,1,0],[1,5559,5591,1,0],[1,5591,5623,1,0],[0,5592,5720,1,0],[1,5623,5655,1,0],[1,5655,5687,1,0],[1,5687,5719,1,0],[1,5719,5751,1,0],[0,5756,5884,1,0],[1,5884,5980,1,0],[1,5980,6076,1,0],[1,6076,6172,1,0],[1,6172,6268,1,0],[1,6268,6364,1,0],[1,6364,6460,1,0],[1,6473,6505,1,0],[1,6656,6688,1,0],[1,6688,6720,1,0],[1,6720,6752,1,0],[0,7135,7247,1,0],[0,7247,7359,1,0],[0,7359,7471,1,0],[0,7471,7583,1,0],[0,7583,7695,1,0],[1,7668,7700,1,0],[0,7695,7807,1,0],[1,7700,7732,1,0],[1,7732,7764,1,0],[1,7764,7796,1,0],[0,7807,7919,1,0],[1,7919,7951,1,0],[1,7951,7983,1,0],[1,7983,8015,1,0],[1,8015,8047,1,0],[1,8047,8079,1,0],[1,8079,8111,1,0]],[[0,11,139,1,0],[1,79,207,1,0],[0,139,267,1,0],[1,207,335,1,0],[0,267,395,1,0],[1,337,465,1,0],[0,395,523,1,0],[1,465,593,1,0],[0,523,651,1,0],[1,593,721,1,0],[0,651,779,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[1,1112,1240,1,0],[0,1238,1366,1,0],[1,1240,1368,1,0],[0,1366,1494,1,0],[1,1368,1496,1,0],[0,1494,1622,1,0],[1,1496,1624,1,0],[0,1622,1750,1,0],[1,1624,1752,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2006,2134,1,0],[1,2134,2262,1,0],[0,2134,2262,1,0],[0,2262,2390,1,0],[0,2390,2518,1,0],[0,2518,2646,1,0],[1,2568,2696,1,0],[0,2646,2774,1,0],[0,2774,2902,1,0],[1,2902,3030,1,0],[0,2902,3030,1,0],[1,3030,3158,1,0],[0,3030,3158,1,0],[1,3158,3286,1,0],[0,3158,3286,1,0],[1,3286,3414,1,0],[0,3286,3414,1,0],[1,3414,3542,1,0],[0,3414,3542,1,0],[0,3542,3670,1,0],[0,3670,3798,1,0],[1,3798,3926,1,0],[1,3926,4054,1,0],[1,4054,4182,1,0],[1,4182,4310,1,0],[1,4310,4438,1,0],[1,4438,4566,1,0],[1,4566,4694,1,0],[0,4570,4666,1,0],[1,4694,4822,1,0],[0,4822,4918,1,0],[1,4822,4950,1,0],[0,4918,5014,1,0],[1,4950,5078,1,0],[0,5014,5110,1,0],[1,5078,5206,1,0],[0,5110,5206,1,0],[0,5206,5302,1,0],[0,5302,5398,1,0],[1,5398,5526,1,0],[0,5406,5518,1,0],[0,5518,5630,1,0],[0,5630,5742,1,0],[1,5640,5768,1,0],[0,5742,5854,1,0],[1,5768,5896,1,0],[0,5854,5966,1,0],[1,5896,6024,1,0],[0,5966,6078,1,0],[0,6078,6190,1,0],[0,6190,6318,1,0],[1,6190,6318,1,0],[0,6318,6446,1,0],[1,6318,6446,1,0],[1,6446,6574,1,0],[1,6574,6702,1,0],[0,6638,6766,1,0],[0,6766,6894,1,0],[0,6894,7022,1,0],[0,7022,7150,1,0],[0,7150,7278,1,0]],[[0,32,160,1,0],[1,79,207,1,0],[0,160,288,1,0],[1,207,335,1,0],[0,288,416,1,0],[1,335,463,1,0],[0,416,544,1,0],[1,463,591,1,0],[0,544,672,1,0],[1,591,719,1,0],[0,672,800,1,0],[1,719,847,1,0],[0,800,928,1,0],[1,858,986,1,0],[0,928,1056,1,0],[0,1056,1184,1,0],[1,1173,1301,1,0],[0,1184,1312,1,0],[1,1301,1429,1,0],[0,1312,1440,1,0],[1,1429,1557,1,0],[0,1440,1568,1,0],[1,1557,1685,1,0],[1,1685,1813,1,0],[0,1761,1873,1,0],[1,1813,1941,1,0],[0,1873,1985,1,0],[1,1941,2069,1,0],[0,1985,2097,1,0],[0,2097,2209,1,0],[0,2209,2321,1,0],[0,2321,2433,1,0],[1,2433,2561,1,0],[1,2561,2689,1,0],[1,2689,2817,1,0],[1,2817,2945,1,0],[0,2822,2950,1,0],[1,2945,3073,1,0],[0,2950,3078,1,0],[1,3073,3201,1,0],[0,3078,3206,1,0],[1,3201,3329,1,0],[0,3387,3515,1,0],[0,3515,3643,1,0],[1,3543,3671,1,0],[0,3643,3771,1,0],[1,3671,3799,1,0],[0,3771,3899,1,0],[1,3799,3927,1,0],[0,3899,4027,1,0],[1,3927,4055,1,0],[0,4027,4155,1,0],[1,4055,4183,1,0],[0,4155,4283,1,0],[1,4183,4311,1,0],[0,4283,4411,1,0],[0,4411,4539,1,0],[0,4539,4667,1,0],[0,4667,4795,1,0],[0,4795,4923,1,0],[0,4923,5051,1,0],[0,5051,5179,1,0],[0,5179,5307,1,0],[1,5307,5435,1,0],[1,5435,5563,1,0],[1,5563,5691,1,0],[1,5691,5819,1,0],[1,5819,5947,1,0],[1,5947,6075,1,0],[1,6075,6203,1,0],[1,6203,6331,1,0],[0,6208,6304,1,0],[0,6304,6400,1,0],[1,6331,6459,1,0],[0,6400,6496,1,0],[1,6459,6587,1,0],[0,6496,6592,1,0],[1,6587,6715,1,0],[0,6592,6688,1,0],[0,6688,6784,1,0],[1,6715,6843,1,0],[1,6843,6971,1,0]],[[0,12,140,1,0],[1,79,207,1,0],[0,140,268,1,0],[1,207,335,1,0],[0,268,396,1,0],[1,335,463,1,0],[0,396,524,1,0],[1,463,591,1,0],[0,524,652,1,0],[1,591,719,1,0],[0,652,780,1,0],[1,719,847,1,0],[0,812,940,1,0],[1,860,988,1,0],[0,940,1068,1,0],[1,988,1116,1,0],[0,1068,1196,1,0],[1,1116,1244,1,0],[0,1196,1324,1,0],[1,1244,1372,1,0],[0,1324,1452,1,0],[1,1372,1500,1,0],[1,1500,1628,1,0],[0,1615,1743,1,0],[0,1939,2035,1,0],[0,2035,2131,1,0],[1,2061,2189,1,0],[0,2131,2227,1,0],[1,2189,2317,1,0],[0,2227,2323,1,0],[1,2317,2445,1,0],[0,2323,2419,1,0],[0,2419,2515,1,0],[1,2445,2573,1,0],[0,2515,2643,1,0],[1,2573,2701,1,0],[1,2701,2829,1,0],[1,2829,2957,1,0],[0,2843,2971,1,0],[0,2971,3099,1,0],[0,3099,3227,1,0],[0,3227,3355,1,0],[0,3355,3483,1,0],[1,3483,3611,1,0],[1,3611,3739,1,0],[1,3739,3867,1,0],[1,3867,3995,1,0],[0,3872,4000,1,0],[1,3995,4123,1,0],[0,4000,4128,1,0],[1,4123,4251,1,0],[0,4128,4256,1,0],[1,4251,4379,1,0],[0,4256,4384,1,0],[0,4384,4512,1,0],[0,4512,4640,1,0],[1,4640,4768,1,0],[1,4768,4896,1,0],[1,4896,5024,1,0],[1,5024,5152,1,0],[1,5152,5280,1,0],[1,5280,5408,1,0],[1,5408,5536,1,0],[1,5536,5664,1,0],[0,5541,5669,1,0],[1,5664,5792,1,0],[0,5669,5797,1,0],[1,5792,5920,1,0],[0,5797,5925,1,0],[1,5920,6048,1,0],[0,5925,6053,1,0],[1,6048,6176,1,0],[0,6053,6181,1,0],[1,6176,6304,1,0],[0,6181,6309,1,0],[0,6309,6421,1,0],[1,6396,6524,1,0],[0,6421,6533,1,0],[0,6533,6645,1,0],[0,6645,6757,1,0],[0,6757,6869,1,0],[0,6869,6981,1,0]],[[0,31,159,1,0],[1,79,207,1,0],[0,159,287,1,0],[1,207,335,1,0],[0,287,415,1,0],[1,335,463,1,0],[0,415,543,1,0],[1,463,591,1,0],[0,543,671,1,0],[1,591,719,1,0],[0,671,799,1,0],[1,719,847,1,0],[0,801,929,1,0],[0,929,1057,1,0],[1,988,1116,1,0],[0,1057,1185,1,0],[1,1116,1244,1,0],[0,1185,1313,1,0],[1,1244,1372,1,0],[0,1313,1441,1,0],[1,1372,1500,1,0],[0,1441,1569,1,0],[1,1500,1628,1,0],[1,1628,1756,1,0],[0,1628,1740,1,0],[0,1740,1852,1,0],[1,1756,1884,1,0],[0,1852,1964,1,0],[1,1884,2012,1,0],[0,1964,2076,1,0],[0,2076,2188,1,0],[0,2188,2300,1,0],[1,2300,2428,1,0],[1,2428,2556,1,0],[1,2556,2684,1,0],[1,2684,2812,1,0],[0,2689,2817,1,0],[1,2812,2940,1,0],[0,2817,2945,1,0],[1,2940,3068,1,0],[0,2945,3073,1,0],[1,3068,3196,1,0],[0,3253,3381,1,0],[1,3272,3400,1,0],[0,3381,3509,1,0],[1,3400,3528,1,0],[0,3509,3637,1,0],[1,3528,3656,1,0],[0,3637,3765,1,0],[1,3656,3784,1,0],[0,3765,3893,1,0],[1,3784,3912,1,0],[0,3893,4021,1,0],[1,3912,4040,1,0],[0,4021,4149,1,0],[0,4149,4277,1,0],[0,4277,4405,1,0],[0,4405,4533,1,0],[0,4533,4661,1,0],[0,4661,4789,1,0],[0,4789,4917,1,0],[0,4917,5045,1,0],[0,5045,5173,1,0],[1,5173,5301,1,0],[1,5301,5429,1,0],[1,5429,5557,1,0],[1,5557,5685,1,0],[1,5685,5813,1,0],[1,5813,5941,1,0],[1,5945,6073,1,0],[1,6073,6201,1,0],[0,6078,6174,1,0],[0,6174,6270,1,0],[1,6201,6329,1,0],[0,6270,6366,1,0],[1,6329,6457,1,0],[0,6366,6462,1,0],[1,6457,6585,1,0],[0,6462,6558,1,0],[0,6558,6654,1,0],[1,6585,6713,1,0],[1,6713,6841,1,0]],[[0,11,139,1,0],[1,79,207,1,0],[0,139,267,1,0],[1,207,335,1,0],[0,267,395,1,0],[1,335,463,1,0],[0,395,523,1,0],[1,463,591,1,0],[0,523,651,1,0],[1,591,719,1,0],[0,651,779,1,0],[1,719,847,1,0],[0,811,939,1,0],[1,858,986,1,0],[0,939,1067,1,0],[1,986,1114,1,0],[0,1067,1195,1,0],[1,1114,1242,1,0],[0,1195,1323,1,0],[1,1242,1370,1,0],[0,1323,1451,1,0],[1,1370,1498,1,0],[1,1498,1626,1,0],[0,1614,1742,1,0],[0,1940,2036,1,0],[0,2036,2132,1,0],[1,2060,2188,1,0],[0,2132,2228,1,0],[1,2188,2316,1,0],[0,2228,2324,1,0],[1,2316,2444,1,0],[0,2324,2420,1,0],[0,2420,2516,1,0],[1,2444,2572,1,0],[0,2516,2644,1,0],[1,2572,2700,1,0],[1,2700,2828,1,0],[1,2828,2956,1,0],[0,2842,2970,1,0],[0,2970,3098,1,0],[0,3098,3226,1,0],[0,3226,3354,1,0],[0,3354,3482,1,0],[1,3482,3610,1,0],[1,3610,3738,1,0],[1,3738,3866,1,0],[1,3866,3994,1,0],[0,3871,3999,1,0],[1,3994,4122,1,0],[0,3999,4127,1,0],[1,4122,4250,1,0],[0,4127,4255,1,0],[1,4250,4378,1,0],[0,4255,4383,1,0],[0,4383,4511,1,0],[0,4511,4639,1,0],[1,4639,4767,1,0],[1,4767,4895,1,0],[1,4895,5023,1,0],[1,5023,5151,1,0],[1,5151,5279,1,0],[1,5279,5407,1,0],[1,5407,5535,1,0],[1,5535,5663,1,0],[0,5540,5668,1,0],[1,5663,5791,1,0],[0,5668,5796,1,0],[1,5791,5919,1,0],[0,5796,5924,1,0],[1,5919,6047,1,0],[0,5924,6052,1,0],[1,6047,6175,1,0],[0,6052,6180,1,0],[1,6175,6303,1,0],[0,6180,6308,1,0],[0,6323,6435,1,0],[1,6393,6521,1,0],[0,6435,6547,1,0],[0,6547,6659,1,0],[0,6659,6771,1,0],[0,6771,6883,1,0],[0,6883,6995,1,0]],[[0,3,131,1,0],[1,79,207,1,0],[0,131,259,1,0],[1,207,335,1,0],[0,259,387,1,0],[1,335,463,1,0],[0,387,515,1,0],[1,463,591,1,0],[0,515,643,1,0],[1,591,719,1,0],[0,643,771,1,0],[1,719,847,1,0],[0,1024,1120,1,0],[0,1120,1216,1,0],[0,1216,1312,1,0],[0,1312,1408,1,0],[0,1408,1504,1,0],[0,1504,1600,1,0],[1,1549,1677,1,0],[1,1677,1805,1,0],[0,1774,1902,1,0],[1,1805,1933,1,0],[0,1902,2030,1,0],[1,1933,2061,1,0],[0,2030,2158,1,0],[1,2061,2189,1,0],[0,2158,2286,1,0],[1,2189,2317,1,0],[0,2286,2414,1,0],[1,2317,2445,1,0],[0,2414,2542,1,0],[0,2542,2654,1,0],[0,2654,2766,1,0],[0,2766,2878,1,0],[0,2878,2990,1,0],[1,2915,3043,1,0],[0,2990,3102,1,0],[1,3043,3171,1,0],[0,3102,3214,1,0],[1,3171,3299,1,0],[1,3299,3427,1,0],[1,3427,3555,1,0],[0,3450,3578,1,0],[1,3555,3683,1,0],[0,3578,3706,1,0],[1,3683,3811,1,0],[0,3706,3834,1,0],[0,3834,3962,1,0],[0,3962,4090,1,0],[0,4301,4429,1,0],[0,4485,4613,1,0],[1,4535,4663,1,0],[0,4613,4741,1,0],[1,4663,4791,1,0],[0,4741,4869,1,0],[1,4791,4919,1,0],[1,4919,5047,1,0],[0,4989,5117,1,0],[1,5047,5175,1,0],[0,5117,5245,1,0],[1,5175,5303,1,0],[0,5245,5373,1,0],[1,5303,5431,1,0],[1,5431,5559,1,0],[1,5561,5689,1,0],[1,5689,5817,1,0],[1,5817,5945,1,0],[1,5945,6073,1,0],[0,5993,6121,1,0],[1,6073,6201,1,0],[0,6121,6249,1,0],[1,6201,6329,1,0],[0,6249,6377,1,0],[1,6329,6457,1,0],[0,6377,6505,1,0],[1,6457,6585,1,0],[0,6505,6633,1,0],[1,6585,6713,1,0],[0,6633,6761,1,0],[1,6713,6841,1,0],[1,6841,6969,1,0],[1,6969,7097,1,0]],[[0,7,135,1,0],[1,79,95,1,0],[1,95,111,1,0],[1,111,127,1,0],[1,127,143,1,0],[0,135,263,1,0],[1,143,159,1,0],[1,159,175,1,0],[1,175,191,1,0],[0,263,391,1,0],[0,391,519,1,0],[0,519,647,1,0],[0,647,775,1,0],[0,775,903,1,0],[1,903,1015,1,0],[1,1015,1127,1,0],[1,1127,1239,1,0],[1,1239,1351,1,0],[1,1351,1463,1,0],[1,1463,1575,1,0],[1,1575,1687,1,0],[1,1687,1799,1,0],[0,1700,1828,1,0],[1,1799,1911,1,0],[0,1828,1956,1,0],[1,1911,2023,1,0],[0,1956,2084,1,0],[1,2023,2135,1,0],[0,2084,2212,1,0],[1,2135,2247,1,0],[0,2212,2340,1,0],[1,2247,2359,1,0],[0,2340,2468,1,0],[0,2468,2596,1,0],[0,2596,2724,1,0],[1,2598,2710,1,0],[1,2710,2822,1,0],[0,2724,2852,1,0],[1,2822,2934,1,0],[0,2852,2980,1,0],[1,2934,3046,1,0],[0,2980,3108,1,0],[1,3046,3158,1,0],[0,3108,3236,1,0],[1,3158,3270,1,0],[0,3236,3364,1,0],[0,3364,3492,1,0],[0,3492,3620,1,0],[1,3494,3606,1,0],[1,3606,3718,1,0],[0,3620,3748,1,0],[1,3718,3830,1,0],[0,3748,3876,1,0],[1,3830,3942,1,0],[0,3876,4004,1,0],[1,3942,4054,1,0],[0,4004,4132,1,0],[1,4054,4166,1,0],[0,4132,4260,1,0],[0,4260,4388,1,0],[1,4388,4500,1,0],[0,4714,4842,1,0],[0,4842,4970,1,0],[0,4970,5098,1,0],[1,4979,4995,1,0],[1,4995,5011,1,0],[1,5011,5027,1,0],[1,5027,5043,1,0],[1,5043,5059,1,0],[1,5059,5075,1,0],[1,5075,5091,1,0],[1,5091,5107,1,0],[0,5098,5226,1,0],[1,5107,5123,1,0],[1,5123,5139,1,0],[1,5139,5155,1,0],[1,5155,5171,1,0],[1,5171,5187,1,0],[0,5226,5354,1,0],[0,5354,5482,1,0],[0,5482,5610,1,0],[1,5610,5722,1,0],[0,5611,5739,1,0],[1,5722,5834,1,0],[0,5739,5867,1,0],[1,5834,5946,1,0],[0,5869,5997,1,0],[1,5946,6058,1,0],[0,5997,6125,1,0],[1,6058,6170,1,0],[1,6170,6282,1,0],[1,6282,6394,1,0],[0,6378,6506,1,0],[1,6394,6506,1,0],[0,6506,6634,1,0],[1,6508,6620,1,0],[0,6634,6762,1,0],[1,6762,6874,1,0],[0,6763,6891,1,0],[1,6874,6986,1,0],[0,6891,7019,1,0],[1,6986,7098,1,0],[0,7021,7149,1,0],[1,7098,7210,1,0],[0,7149,7277,1,0],[1,7210,7322,1,0],[0,7277,7405,1,0],[1,7322,7434,1,0],[0,7405,7533,1,0],[0,7533,7661,1,0],[1,7661,7773,1,0],[0,7662,7718,1,0],[0,7718,7774,1,0],[1,7773,7885,1,0],[0,7774,7830,1,0],[0,7830,7886,1,0],[1,7885,7997,1,0],[0,7886,7942,1,0],[0,7942,7998,1,0],[1,7997,8109,1,0],[1,8109,8221,1,0],[0,8226,8282,1,0],[1,8282,8298,1,0],[1,8298,8314,1,0],[1,8314,8330,1,0],[1,8330,8346,1,0],[1,8346,8362,1,0],[1,8362,8378,1,0],[1,8378,8394,1,0],[1,8394,8410,1,0],[1,8410,8426,1,0],[1,8426,8442,1,0],[1,8442,8458,1,0],[1,8458,8474,1,0],[1,8474,8490,1,0],[1,8490,8506,1,0],[1,8506,8522,1,0],[1,8522,8538,1,0],[1,8538,8554,1,0],[1,8554,8570,1,0],[1,8570,8586,1,0]],[[0,2,130,1,0],[1,79,207,1,0],[0,130,258,1,0],[1,207,335,1,0],[0,258,386,1,0],[1,335,463,1,0],[0,386,514,1,0],[1,463,591,1,0],[0,514,642,1,0],[1,591,719,1,0],[0,642,770,1,0],[1,719,847,1,0],[0,1023,1119,1,0],[0,1119,1215,1,0],[0,1215,1311,1,0],[0,1311,1407,1,0],[0,1407,1503,1,0],[0,1503,1599,1,0],[1,1550,1678,1,0],[1,1678,1806,1,0],[0,1774,1902,1,0],[1,1806,1934,1,0],[0,1902,2030,1,0],[1,1934,2062,1,0],[0,2030,2158,1,0],[1,2062,2190,1,0],[0,2158,2286,1,0],[1,2190,2318,1,0],[0,2286,2414,1,0],[1,2318,2446,1,0],[0,2414,2542,1,0],[0,2542,2654,1,0],[0,2654,2766,1,0],[0,2766,2878,1,0],[0,2878,2990,1,0],[1,2917,3045,1,0],[0,2990,3102,1,0],[1,3045,3173,1,0],[0,3102,3214,1,0],[1,3173,3301,1,0],[0,3214,3342,1,0],[1,3301,3429,1,0],[0,3342,3470,1,0],[1,3429,3557,1,0],[0,3470,3598,1,0],[1,3557,3685,1,0],[0,3598,3726,1,0],[1,3685,3813,1,0],[0,3726,3854,1,0],[0,3854,3982,1,0],[0,4485,4613,1,0],[1,4536,4664,1,0],[0,4613,4741,1,0],[1,4664,4792,1,0],[0,4741,4869,1,0],[1,4792,4920,1,0],[0,4869,4997,1,0],[1,4920,5048,1,0],[1,5048,5176,1,0],[0,5118,5246,1,0],[1,5176,5304,1,0],[0,5246,5374,1,0],[1,5556,5684,1,0],[1,5684,5812,1,0],[1,5812,5940,1,0],[1,5940,6068,1,0],[1,6068,6196,1,0],[1,6196,6324,1,0],[1,6324,6452,1,0],[0,6381,6509,1,0],[1,6452,6580,1,0],[0,6509,6637,1,0],[1,6580,6708,1,0],[0,6637,6765,1,0],[1,6708,6836,1,0],[0,6765,6893,1,0],[1,6836,6964,1,0],[0,6893,7021,1,0],[1,6964,7092,1,0],[0,7021,7149,1,0],[1,7092,7220,1,0],[1,7220,7348,1,0]],[[0,6,134,1,0],[1,79,95,1,0],[1,95,111,1,0],[1,111,127,1,0],[1,127,143,1,0],[0,134,262,1,0],[1,143,159,1,0],[1,159,175,1,0],[1,175,191,1,0],[0,262,390,1,0],[0,390,518,1,0],[0,518,646,1,0],[0,646,774,1,0],[0,774,902,1,0],[1,902,1014,1,0],[1,1014,1126,1,0],[1,1126,1238,1,0],[1,1238,1350,1,0],[1,1350,1462,1,0],[1,1462,1574,1,0],[1,1574,1686,1,0],[1,1686,1798,1,0],[0,1700,1828,1,0],[1,1798,1910,1,0],[0,1828,1956,1,0],[1,1910,2022,1,0],[0,1956,2084,1,0],[1,2022,2134,1,0],[0,2084,2212,1,0],[1,2134,2246,1,0],[0,2212,2340,1,0],[1,2246,2358,1,0],[0,2340,2468,1,0],[0,2468,2596,1,0],[0,2596,2724,1,0],[1,2598,2710,1,0],[1,2710,2822,1,0],[0,2724,2852,1,0],[1,2822,2934,1,0],[0,2852,2980,1,0],[1,2934,3046,1,0],[0,2980,3108,1,0],[1,3046,3158,1,0],[0,3108,3236,1,0],[1,3158,3270,1,0],[0,3236,3364,1,0],[0,3364,3492,1,0],[0,3492,3620,1,0],[1,3494,3606,1,0],[1,3606,3718,1,0],[0,3620,3748,1,0],[1,3718,3830,1,0],[0,3748,3876,1,0],[1,3830,3942,1,0],[0,3876,4004,1,0],[1,3942,4054,1,0],[0,4004,4132,1,0],[1,4054,4166,1,0],[0,4132,4260,1,0],[0,4260,4388,1,0],[1,4388,4500,1,0],[0,4715,4843,1,0],[0,4843,4971,1,0],[0,4971,5099,1,0],[1,4980,4996,1,0],[1,4996,5012,1,0],[1,5012,5028,1,0],[1,5028,5044,1,0],[1,5044,5060,1,0],[1,5060,5076,1,0],[1,5076,5092,1,0],[1,5092,5108,1,0],[0,5099,5227,1,0],[1,5108,5124,1,0],[1,5124,5140,1,0],[1,5140,5156,1,0],[1,5156,5172,1,0],[1,5172,5188,1,0],[0,5227,5355,1,0],[0,5355,5483,1,0],[0,5483,5611,1,0],[1,5611,5723,1,0],[0,5612,5740,1,0],[1,5723,5835,1,0],[0,5740,5868,1,0],[1,5835,5947,1,0],[0,5870,5998,1,0],[1,5947,6059,1,0],[0,5998,6126,1,0],[1,6059,6171,1,0],[1,6171,6283,1,0],[0,6252,6380,1,0],[1,6283,6395,1,0],[0,6381,6509,1,0],[1,6395,6507,1,0],[1,6507,6619,1,0],[0,6509,6637,1,0],[0,6637,6765,1,0],[1,6765,6877,1,0],[0,6766,6894,1,0],[1,6877,6989,1,0],[0,6894,7022,1,0],[1,6989,7101,1,0],[0,7024,7152,1,0],[1,7101,7213,1,0],[0,7152,7280,1,0],[1,7213,7325,1,0],[0,7280,7408,1,0],[0,7408,7536,1,0],[1,7536,7648,1,0],[0,7545,7601,1,0],[0,7601,7657,1,0],[1,7648,7760,1,0],[0,7657,7713,1,0],[0,7713,7769,1,0],[1,7760,7872,1,0],[0,7769,7825,1,0],[0,7825,7881,1,0],[1,7872,7984,1,0],[1,7984,8096,1,0],[1,8096,8208,1,0],[0,8213,8269,1,0],[1,8269,8285,1,0],[1,8285,8301,1,0],[1,8301,8317,1,0],[1,8317,8333,1,0],[1,8333,8349,1,0],[1,8349,8365,1,0],[1,8365,8381,1,0],[1,8381,8397,1,0],[1,8397,8413,1,0],[1,8413,8429,1,0],[1,8429,8445,1,0],[1,8445,8461,1,0],[1,8461,8477,1,0],[1,8477,8493,1,0],[1,8493,8509,1,0],[1,8509,8525,1,0],[1,8525,8541,1,0],[1,8541,8557,1,0],[1,8557,8573,1,0]],[[0,0,128,1,0],[1,81,209,1,0],[0,128,256,1,0],[1,209,337,1,0],[0,256,384,1,0],[1,337,465,1,0],[0,384,512,1,0],[1,465,593,1,0],[0,512,640,1,0],[1,593,721,1,0],[0,640,768,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[0,1238,1366,1,0],[0,1366,1494,1,0],[0,1494,1622,1,0],[0,1622,1750,1,0],[1,1744,1872,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2019,2147,1,0],[1,2134,2262,1,0],[0,2147,2275,1,0],[1,2262,2390,1,0],[0,2275,2403,1,0],[1,2390,2518,1,0],[0,2403,2531,1,0],[1,2518,2646,1,0],[0,2531,2659,1,0],[1,2646,2774,1,0],[0,2659,2787,1,0],[0,2787,2915,1,0],[1,3074,3202,1,0],[1,3202,3330,1,0],[1,3330,3458,1,0],[1,3458,3586,1,0],[1,3586,3714,1,0],[0,3627,3755,1,0],[1,3714,3842,1,0],[0,3755,3883,1,0],[1,3842,3970,1,0],[0,3883,4011,1,0],[1,3970,4098,1,0],[0,4011,4139,1,0],[1,4098,4226,1,0],[0,4139,4267,1,0],[1,4226,4354,1,0],[0,4267,4395,1,0],[1,4354,4482,1,0],[0,4395,4523,1,0],[1,4482,4610,1,0],[0,4523,4579,1,0],[0,4579,4635,1,0],[0,4635,4691,1,0],[0,4691,4747,1,0],[0,4747,4803,1,0],[0,4803,4859,1,0],[0,4859,4915,1,0],[0,4915,4931,1,0],[0,4931,4947,1,0],[0,4947,4963,1,0],[0,4964,4980,1,0],[0,4980,4996,1,0],[0,4996,5012,1,0],[1,5008,5136,1,0],[0,5012,5028,1,0],[0,5028,5156,1,0],[1,5136,5264,1,0],[0,5156,5284,1,0],[1,5264,5392,1,0],[0,5284,5412,1,0],[1,5392,5520,1,0],[0,5412,5540,1,0],[1,5520,5648,1,0],[0,5540,5668,1,0],[1,5648,5776,1,0],[0,5668,5796,1,0],[0,5796,5924,1,0],[0,5924,6052,1,0],[0,6052,6180,1,0],[1,6174,6302,1,0],[0,6180,6308,1,0],[1,6302,6430,1,0],[0,6308,6436,1,0],[1,6430,6558,1,0],[0,6436,6564,1,0],[1,6558,6686,1,0],[0,6564,6692,1,0],[1,6686,6814,1,0],[1,6814,6942,1,0],[1,6942,7070,1,0],[0,7075,7203,1,0]],[[0,4,132,1,0],[1,79,207,1,0],[0,132,260,1,0],[1,207,335,1,0],[0,260,388,1,0],[1,335,463,1,0],[0,388,516,1,0],[1,463,591,1,0],[0,516,644,1,0],[1,591,719,1,0],[0,644,772,1,0],[1,719,847,1,0],[0,772,828,1,0],[0,828,884,1,0],[0,884,940,1,0],[0,940,996,1,0],[0,996,1052,1,0],[1,1020,1148,1,0],[0,1052,1108,1,0],[0,1108,1236,1,0],[1,1148,1276,1,0],[0,1236,1364,1,0],[1,1276,1404,1,0],[0,1364,1492,1,0],[1,1404,1532,1,0],[0,1492,1620,1,0],[1,1532,1660,1,0],[0,1620,1748,1,0],[1,1660,1788,1,0],[0,1748,1876,1,0],[1,1858,1986,1,0],[0,1876,2004,1,0],[1,1986,2114,1,0],[0,2004,2132,1,0],[1,2114,2242,1,0],[0,2132,2260,1,0],[1,2242,2370,1,0],[0,2260,2388,1,0],[1,2370,2498,1,0],[0,2388,2516,1,0],[1,2498,2626,1,0],[0,2516,2644,1,0],[1,2626,2754,1,0],[1,2825,2953,1,0],[1,2953,3081,1,0],[1,3081,3209,1,0],[1,3209,3337,1,0],[1,3339,3467,1,0],[1,3467,3595,1,0],[0,3473,3601,1,0],[1,3595,3723,1,0],[0,3601,3729,1,0],[0,3729,3857,1,0],[1,3782,3910,1,0],[0,3857,3985,1,0],[0,3985,4113,1,0],[1,4043,4171,1,0],[0,4113,4241,1,0],[1,4171,4299,1,0],[0,4241,4369,1,0],[1,4299,4427,1,0],[0,4369,4497,1,0],[1,4427,4555,1,0],[1,4555,4683,1,0],[1,4683,4811,1,0],[0,4697,4825,1,0],[0,4825,4953,1,0],[0,4953,5081,1,0],[0,5081,5209,1,0],[1,5209,5337,1,0],[1,5337,5465,1,0],[1,5465,5593,1,0],[1,5593,5721,1,0],[1,5721,5849,1,0],[1,5849,5977,1,0],[1,5977,6105,1,0],[0,6367,6495,1,0],[0,6495,6623,1,0],[0,6623,6751,1,0],[0,6936,7064,1,0],[0,7064,7192,1,0],[0,7192,7320,1,0],[0,7991,8007,1,0],[0,8007,8023,1,0],[0,8023,8039,1,0],[0,8039,8055,1,0],[0,8055,8071,1,0],[0,8073,8089,1,0]],[[0,2,130,1,0],[1,79,207,1,0],[0,130,258,1,0],[1,207,335,1,0],[0,258,386,1,0],[1,335,463,1,0],[0,386,514,1,0],[1,463,591,1,0],[0,514,642,1,0],[1,591,719,1,0],[0,642,770,1,0],[1,719,847,1,0],[1,847,975,1,0],[0,980,1108,1,0],[0,1108,1236,1,0],[0,1236,1364,1,0],[0,1364,1492,1,0],[0,1492,1620,1,0],[0,1620,1748,1,0],[0,1748,1876,1,0],[0,1876,2004,1,0],[1,2004,2132,1,0],[0,2019,2147,1,0],[1,2132,2260,1,0],[0,2147,2275,1,0],[1,2260,2388,1,0],[0,2275,2403,1,0],[1,2388,2516,1,0],[0,2403,2531,1,0],[1,2516,2644,1,0],[0,2531,2659,1,0],[1,2644,2772,1,0],[0,2659,2787,1,0],[1,2772,2900,1,0],[0,2905,3033,1,0],[1,3070,3198,1,0],[1,3198,3326,1,0],[1,3326,3454,1,0],[1,3454,3582,1,0],[0,3491,3619,1,0],[1,3582,3710,1,0],[0,3619,3747,1,0],[1,3710,3838,1,0],[0,3747,3875,1,0],[1,3838,3966,1,0],[0,3875,4003,1,0],[1,3966,4094,1,0],[0,4003,4131,1,0],[1,4094,4222,1,0],[0,4131,4259,1,0],[1,4222,4350,1,0],[0,4259,4387,1,0],[1,4350,4478,1,0],[0,4387,4403,1,0],[0,4403,4419,1,0],[0,4419,4435,1,0],[0,4435,4451,1,0],[0,4451,4467,1,0],[0,4467,4483,1,0],[1,4478,4606,1,0],[0,4483,4499,1,0],[0,4543,4671,1,0],[0,4671,4799,1,0],[0,4799,4927,1,0],[0,4927,5055,1,0],[1,4964,5092,1,0],[1,5092,5220,1,0],[0,5101,5157,1,0],[0,5157,5213,1,0],[0,5213,5269,1,0],[1,5221,5349,1,0],[0,5269,5325,1,0],[0,5325,5381,1,0],[0,5381,5437,1,0],[0,5437,5493,1,0],[0,5493,5621,1,0],[1,5493,5621,1,0],[0,5621,5749,1,0],[0,5749,5877,1,0],[1,5877,6005,1,0],[0,5877,6005,1,0],[1,6005,6133,1,0],[0,6005,6133,1,0],[1,6133,6261,1,0],[0,6134,6262,1,0],[0,6262,6390,1,0],[0,6390,6518,1,0],[0,6518,6646,1,0],[1,6735,6863,1,0],[1,6863,6991,1,0],[1,6991,7119,1,0],[1,7119,7247,1,0],[1,7247,7375,1,0],[1,7375,7503,1,0],[0,7508,7636,1,0]],[[0,3,131,1,0],[1,79,207,1,0],[0,131,259,1,0],[1,207,335,1,0],[0,259,387,1,0],[1,335,463,1,0],[0,387,515,1,0],[1,463,591,1,0],[0,515,643,1,0],[1,591,719,1,0],[0,643,771,1,0],[1,719,847,1,0],[0,771,827,1,0],[0,827,883,1,0],[0,883,939,1,0],[0,939,995,1,0],[0,995,1051,1,0],[0,1051,1107,1,0],[1,1283,1411,1,0],[1,1411,1539,1,0],[1,1539,1667,1,0],[1,1667,1795,1,0],[0,1678,1806,1,0],[1,1795,1923,1,0],[0,1806,1934,1,0],[1,1923,2051,1,0],[0,1934,2062,1,0],[1,2051,2179,1,0],[0,2062,2190,1,0],[1,2179,2307,1,0],[0,2190,2318,1,0],[1,2307,2435,1,0],[0,2318,2446,1,0],[1,2435,2563,1,0],[0,2446,2574,1,0],[1,2563,2691,1,0],[0,2574,2702,1,0],[1,2691,2819,1,0],[0,2702,2830,1,0],[1,2819,2947,1,0],[0,2830,2958,1,0],[1,2947,3075,1,0],[0,2958,3086,1,0],[1,3075,3203,1,0],[0,3086,3214,1,0],[1,3203,3331,1,0],[1,3331,3459,1,0],[1,3459,3587,1,0],[0,3536,3664,1,0],[1,3587,3715,1,0],[0,3664,3792,1,0],[1,3715,3843,1,0],[0,3792,3920,1,0],[0,3920,4048,1,0],[0,4048,4176,1,0],[1,4157,4285,1,0],[0,4176,4304,1,0],[1,4285,4413,1,0],[0,4304,4432,1,0],[1,4413,4541,1,0],[0,4432,4560,1,0],[1,4541,4669,1,0],[0,4560,4688,1,0],[1,4669,4797,1,0],[1,4797,4925,1,0],[1,4925,5053,1,0],[0,4941,5069,1,0],[0,5069,5197,1,0],[0,5197,5325,1,0],[1,5348,5476,1,0],[1,5476,5604,1,0],[1,5604,5732,1,0],[1,5732,5860,1,0],[1,5860,5988,1,0],[1,5988,6116,1,0],[1,6116,6244,1,0],[0,6388,6516,1,0],[0,6516,6644,1,0],[0,6644,6772,1,0],[0,6940,7068,1,0],[0,7068,7196,1,0],[0,7196,7324,1,0],[0,8066,8082,1,0],[0,8082,8098,1,0],[0,8098,8114,1,0],[0,8114,8130,1,0],[0,8130,8146,1,0],[0,8146,8162,1,0]],[[0,10,138,1,0],[1,79,207,1,0],[0,138,266,1,0],[1,207,335,1,0],[0,266,394,1,0],[1,335,463,1,0],[0,394,522,1,0],[1,463,591,1,0],[0,522,650,1,0],[1,591,719,1,0],[0,650,778,1,0],[1,719,847,1,0],[1,981,1109,1,0],[0,989,1117,1,0],[1,1109,1237,1,0],[0,1117,1245,1,0],[1,1237,1365,1,0],[0,1245,1373,1,0],[1,1365,1493,1,0],[0,1373,1501,1,0],[1,1493,1621,1,0],[0,1501,1629,1,0],[1,1621,1749,1,0],[0,1629,1757,1,0],[0,1757,1813,1,0],[1,1769,1897,1,0],[0,1813,1869,1,0],[0,1869,1925,1,0],[0,1925,1981,1,0],[0,1981,2037,1,0],[1,2001,2129,1,0],[0,2037,2093,1,0],[1,2129,2257,1,0],[1,2257,2385,1,0],[1,2385,2513,1,0],[0,2459,2587,1,0],[1,2513,2641,1,0],[0,2587,2715,1,0],[1,2641,2769,1,0],[0,2715,2843,1,0],[0,2843,2971,1,0],[1,2901,3029,1,0],[0,2971,3099,1,0],[0,3099,3227,1,0],[0,3227,3355,1,0],[0,3355,3483,1,0],[1,3602,3730,1,0],[0,3620,3748,1,0],[1,3730,3858,1,0],[0,3748,3876,1,0],[1,3858,3986,1,0],[0,3876,4004,1,0],[1,3986,4114,1,0],[0,4004,4132,1,0],[1,4114,4242,1,0],[0,4132,4260,1,0],[1,4242,4370,1,0],[0,4260,4388,1,0],[0,4388,4516,1,0],[0,4516,4644,1,0],[0,4644,4772,1,0],[1,4715,4843,1,0],[0,4772,4900,1,0],[0,4934,5062,1,0],[1,5040,5168,1,0],[0,5062,5190,1,0],[1,5168,5296,1,0],[0,5190,5318,1,0],[1,5296,5424,1,0],[0,5318,5446,1,0],[1,5424,5552,1,0],[0,5446,5574,1,0],[1,5552,5680,1,0],[0,5574,5702,1,0],[1,5680,5808,1,0],[1,7032,7160,1,0],[1,7292,7420,1,0],[1,7420,7548,1,0],[1,7548,7676,1,0],[1,7676,7804,1,0],[1,7804,7932,1,0],[1,7932,8060,1,0],[0,8150,8166,1,0],[0,8166,8182,1,0],[0,8182,8198,1,0],[0,8198,8214,1,0],[0,8214,8230,1,0],[0,8230,8246,1,0]],[[0,30,158,1,0],[0,158,286,1,0],[0,286,414,1,0],[0,414,542,1,0],[0,542,670,1,0],[1,670,798,1,0],[0,867,995,1,0],[1,995,1123,1,0],[1,1123,1251,1,0],[1,1251,1379,1,0],[0,1256,1384,1,0],[1,1379,1507,1,0],[0,1384,1512,1,0],[1,1507,1635,1,0],[0,1512,1640,1,0],[1,1635,1763,1,0],[0,1640,1768,1,0],[1,1763,1891,1,0],[0,1768,1896,1,0],[1,1891,2019,1,0],[0,1896,2024,1,0],[1,2019,2147,1,0],[1,2147,2275,1,0],[1,2275,2403,1,0],[1,2403,2531,1,0],[0,2499,2627,1,0],[1,2531,2659,1,0],[0,2627,2755,1,0],[1,2659,2787,1,0],[0,2755,2883,1,0],[1,2787,2915,1,0],[0,2883,3011,1,0],[1,2915,3043,1,0],[0,3011,3139,1,0],[1,3043,3171,1,0],[0,3139,3267,1,0],[1,3171,3299,1,0],[0,3267,3395,1,0],[1,3299,3427,1,0],[0,3395,3523,1,0],[1,3427,3555,1,0],[0,3523,3651,1,0],[1,3555,3683,1,0],[0,3651,3779,1,0],[1,3683,3811,1,0],[0,3779,3907,1,0],[1,3811,3939,1,0],[0,3907,4035,1,0],[1,3939,4067,1,0],[0,4035,4163,1,0],[1,4067,4195,1,0],[0,4163,4291,1,0],[1,4195,4323,1,0],[0,4291,4419,1,0],[1,4323,4451,1,0],[0,4419,4547,1,0],[1,4451,4579,1,0],[0,4547,4675,1,0],[1,4579,4707,1,0],[0,4675,4803,1,0],[1,4707,4835,1,0],[0,4803,4819,1,0],[0,4819,4835,1,0],[1,4835,4963,1,0],[1,4963,5091,1,0],[0,4981,4997,1,0],[0,4997,5013,1,0],[0,5014,5030,1,0],[0,5030,5046,1,0],[0,5059,5187,1,0],[0,5187,5315,1,0],[0,5541,5669,1,0],[0,5669,5797,1,0],[0,5797,5925,1,0],[0,5925,6053,1,0],[1,6194,6322,1,0],[1,6322,6450,1,0],[1,6450,6578,1,0],[1,6578,6706,1,0],[1,6706,6834,1,0],[1,6834,6962,1,0],[0,7194,7250,1,0],[0,7250,7306,1,0],[0,7306,7362,1,0],[0,7362,7418,1,0],[0,7418,7474,1,0],[1,7594,7722,1,0],[0,7610,7666,1,0]],[[0,9,137,1,0],[1,79,207,1,0],[0,137,265,1,0],[1,207,335,1,0],[0,265,393,1,0],[1,335,463,1,0],[0,393,521,1,0],[1,463,591,1,0],[0,521,649,1,0],[1,591,719,1,0],[0,649,777,1,0],[1,719,847,1,0],[0,987,1115,1,0],[0,1115,1243,1,0],[0,1243,1371,1,0],[0,1371,1499,1,0],[0,1499,1627,1,0],[0,1627,1755,1,0],[1,1755,1883,1,0],[1,1883,2011,1,0],[1,2011,2139,1,0],[1,2139,2267,1,0],[0,2144,2200,1,0],[0,2200,2256,1,0],[0,2256,2312,1,0],[1,2267,2395,1,0],[0,2312,2368,1,0],[0,2368,2424,1,0],[1,2395,2523,1,0],[0,2424,2480,1,0],[0,2480,2608,1,0],[1,2523,2651,1,0],[0,2608,2736,1,0],[1,2651,2779,1,0],[0,2736,2864,1,0],[1,2779,2907,1,0],[0,2864,2992,1,0],[1,2907,3035,1,0],[0,2992,3120,1,0],[1,3035,3163,1,0],[0,3120,3248,1,0],[1,3163,3291,1,0],[0,3248,3376,1,0],[1,3291,3419,1,0],[0,3376,3504,1,0],[1,3609,3737,1,0],[1,3737,3865,1,0],[0,3747,3875,1,0],[1,3865,3993,1,0],[0,3875,4003,1,0],[1,3993,4121,1,0],[0,4003,4131,1,0],[1,4121,4249,1,0],[0,4131,4259,1,0],[1,4249,4377,1,0],[0,4259,4387,1,0],[1,4377,4505,1,0],[0,4387,4515,1,0],[0,4515,4643,1,0],[0,4643,4771,1,0],[0,4771,4899,1,0],[0,4899,5027,1,0],[0,5027,5155,1,0],[1,5080,5208,1,0],[0,5155,5283,1,0],[1,5208,5336,1,0],[0,5283,5411,1,0],[1,5336,5464,1,0],[0,5411,5539,1,0],[1,5464,5592,1,0],[0,5539,5667,1,0],[1,5592,5720,1,0],[0,5667,5795,1,0],[1,5720,5848,1,0],[1,5848,5976,1,0],[1,7496,7624,1,0],[1,7624,7752,1,0],[1,7752,7880,1,0],[1,7880,8008,1,0],[1,8008,8136,1,0],[1,8136,8264,1,0],[1,8264,8392,1,0],[0,8397,8413,1,0],[0,8413,8429,1,0],[0,8429,8445,1,0],[0,8445,8461,1,0],[0,8461,8477,1,0],[0,8477,8493,1,0]],[[0,29,157,1,0],[0,157,285,1,0],[0,285,413,1,0],[0,413,541,1,0],[0,541,669,1,0],[1,669,797,1,0],[0,865,993,1,0],[1,993,1121,1,0],[1,1121,1249,1,0],[1,1249,1377,1,0],[0,1254,1382,1,0],[1,1377,1505,1,0],[0,1382,1510,1,0],[1,1505,1633,1,0],[0,1510,1638,1,0],[1,1633,1761,1,0],[0,1638,1766,1,0],[1,1761,1889,1,0],[0,1766,1894,1,0],[1,1889,2017,1,0],[0,1894,2022,1,0],[1,2017,2145,1,0],[1,2145,2273,1,0],[1,2273,2401,1,0],[1,2401,2529,1,0],[0,2496,2624,1,0],[1,2529,2657,1,0],[0,2624,2752,1,0],[1,2657,2785,1,0],[0,2752,2880,1,0],[1,2785,2913,1,0],[0,2880,3008,1,0],[1,2913,3041,1,0],[0,3008,3136,1,0],[1,3041,3169,1,0],[0,3136,3264,1,0],[1,3169,3297,1,0],[0,3264,3392,1,0],[1,3297,3425,1,0],[0,3392,3520,1,0],[1,3425,3553,1,0],[0,3520,3648,1,0],[1,3553,3681,1,0],[0,3648,3776,1,0],[1,3681,3809,1,0],[0,3776,3904,1,0],[1,3809,3937,1,0],[0,3904,4032,1,0],[1,3937,4065,1,0],[0,4032,4160,1,0],[1,4065,4193,1,0],[0,4160,4288,1,0],[1,4193,4321,1,0],[0,4288,4416,1,0],[1,4321,4449,1,0],[0,4416,4544,1,0],[1,4449,4577,1,0],[0,4544,4672,1,0],[1,4577,4705,1,0],[0,4672,4800,1,0],[1,4705,4833,1,0],[0,4800,4816,1,0],[0,4816,4832,1,0],[0,4832,4848,1,0],[1,4833,4961,1,0],[1,4961,5089,1,0],[0,4981,4997,1,0],[0,4997,5013,1,0],[0,5013,5029,1,0],[0,5056,5184,1,0],[0,5184,5312,1,0],[0,5541,5669,1,0],[0,5669,5797,1,0],[0,5797,5925,1,0],[0,5925,6053,1,0],[1,6193,6321,1,0],[1,6321,6449,1,0],[1,6449,6577,1,0],[1,6577,6705,1,0],[1,6705,6833,1,0],[1,6833,6961,1,0],[0,7455,7511,1,0],[0,7511,7567,1,0],[0,7567,7623,1,0],[1,7592,7720,1,0],[0,7623,7679,1,0],[0,7679,7735,1,0],[0,7868,7924,1,0]],[[0,0,128,1,0],[1,80,208,1,0],[0,128,256,1,0],[1,208,336,1,0],[0,256,384,1,0],[1,336,464,1,0],[0,384,512,1,0],[1,464,592,1,0],[0,512,640,1,0],[1,592,720,1,0],[0,640,768,1,0],[1,720,848,1,0],[0,768,896,1,0],[1,848,976,1,0],[0,920,1048,1,0],[0,1048,1176,1,0],[1,1162,1290,1,0],[0,1176,1304,1,0],[1,1290,1418,1,0],[0,1304,1432,1,0],[1,1418,1546,1,0],[0,1432,1560,1,0],[1,1546,1674,1,0],[0,1560,1688,1,0],[1,1674,1802,1,0],[0,1688,1816,1,0],[1,1802,1930,1,0],[1,1930,2058,1,0],[1,2506,2634,1,0],[0,2516,2644,1,0],[1,2634,2762,1,0],[0,2644,2772,1,0],[1,2762,2890,1,0],[0,2772,2900,1,0],[1,2890,3018,1,0],[0,2900,3028,1,0],[1,3018,3146,1,0],[0,3028,3156,1,0],[1,3146,3274,1,0],[0,3156,3284,1,0],[0,3284,3412,1,0],[1,3412,3540,1,0],[0,3438,3566,1,0],[1,3540,3668,1,0],[0,3566,3694,1,0],[1,3668,3796,1,0],[0,3694,3822,1,0],[1,3796,3924,1,0],[1,3924,4052,1,0],[1,4052,4180,1,0],[1,4180,4308,1,0],[1,4308,4436,1,0],[0,4309,4437,1,0],[0,4542,4670,1,0],[1,4642,4770,1,0],[0,4670,4798,1,0],[1,4770,4898,1,0],[0,4798,4926,1,0],[0,4926,5054,1,0],[1,5054,5182,1,0],[0,5054,5182,1,0],[1,5182,5310,1,0],[0,5182,5310,1,0],[1,5310,5438,1,0],[0,5310,5438,1,0],[0,5438,5566,1,0],[1,5440,5568,1,0],[0,5566,5694,1,0],[0,5694,5822,1,0],[1,5822,5950,1,0],[1,5950,6078,1,0],[1,6078,6206,1,0],[1,6206,6334,1,0],[0,6207,6335,1,0],[1,6334,6462,1,0],[0,6335,6463,1,0],[1,6462,6590,1,0],[0,6463,6591,1,0],[0,6591,6719,1,0],[1,6592,6720,1,0],[0,6719,6847,1,0],[1,6720,6848,1,0],[0,6847,6975,1,0],[0,6975,7103,1,0],[1,7103,7231,1,0],[0,7103,7231,1,0],[1,7231,7359,1,0],[0,7231,7359,1,0],[1,7359,7487,1,0],[0,7359,7487,1,0],[1,7487,7615,1,0],[0,7487,7615,1,0],[0,7615,7743,1,0],[0,7743,7871,1,0],[0,7871,7999,1,0],[0,8074,8146,1,0],[0,8297,8369,1,0],[0,8369,8441,1,0],[0,8441,8513,1,0],[0,8513,8585,1,0],[0,8585,8657,1,0],[0,8657,8729,1,0]],[[0,36,164,1,0],[1,79,151,1,0],[1,151,223,1,0],[0,164,292,1,0],[1,223,295,1,0],[0,292,420,1,0],[1,295,367,1,0],[1,367,439,1,0],[0,420,548,1,0],[1,439,511,1,0],[1,511,583,1,0],[0,548,676,1,0],[0,676,804,1,0],[0,804,932,1,0],[1,862,918,1,0],[1,918,974,1,0],[0,932,1060,1,0],[1,974,1030,1,0],[1,1030,1086,1,0],[0,1060,1188,1,0],[1,1086,1142,1,0],[1,1142,1198,1,0],[0,1188,1316,1,0],[0,1316,1444,1,0],[0,1444,1572,1,0],[0,1572,1700,1,0],[0,1700,1828,1,0],[1,2213,2269,1,0],[1,2269,2325,1,0],[1,2325,2381,1,0],[1,2381,2437,1,0],[0,2416,2544,1,0],[1,2437,2493,1,0],[1,2493,2549,1,0],[0,2544,2672,1,0],[0,2672,2800,1,0],[1,2792,2848,1,0],[0,2800,2928,1,0],[1,2848,2904,1,0],[1,2904,2960,1,0],[0,2928,3056,1,0],[1,2960,3016,1,0],[1,3016,3072,1,0],[0,3056,3184,1,0],[1,3072,3128,1,0],[1,3128,3184,1,0],[0,3189,3317,1,0],[1,3317,3389,1,0],[1,3389,3461,1,0],[1,3461,3533,1,0],[1,3533,3605,1,0],[1,3605,3677,1,0],[1,3677,3749,1,0],[0,3955,4083,1,0],[1,4056,4128,1,0],[0,4083,4211,1,0],[1,4128,4200,1,0],[1,4200,4272,1,0],[0,4211,4339,1,0],[1,4272,4344,1,0],[0,4339,4467,1,0],[1,4344,4416,1,0],[1,4416,4488,1,0],[0,4471,4599,1,0],[1,4593,4649,1,0],[0,4599,4727,1,0],[1,4649,4705,1,0],[1,4705,4761,1,0],[0,4727,4855,1,0],[1,4761,4817,1,0],[1,4817,4873,1,0],[0,4855,4983,1,0],[1,4873,4929,1,0],[1,4929,4985,1,0],[0,4983,5111,1,0],[1,4985,5057,1,0],[1,5057,5129,1,0],[0,5111,5239,1,0],[1,5129,5201,1,0],[0,5239,5367,1,0],[1,5367,5439,1,0],[0,5368,5496,1,0],[1,5439,5511,1,0],[0,5496,5624,1,0],[1,5511,5583,1,0],[1,5583,5655,1,0],[0,5660,5788,1,0],[1,5788,5844,1,0],[1,5844,5900,1,0],[1,5900,5956,1,0],[1,5956,6012,1,0],[1,6012,6068,1,0],[1,6068,6124,1,0],[1,6124,6180,1,0],[0,6240,6368,1,0],[1,6292,6364,1,0],[1,6364,6436,1,0],[0,6368,6496,1,0],[1,6436,6508,1,0],[0,6496,6624,1,0],[1,6508,6580,1,0],[1,6580,6652,1,0],[0,6624,6752,1,0],[1,6652,6724,1,0],[1,6724,6780,1,0],[0,6752,6880,1,0],[1,6780,6836,1,0],[1,6836,6892,1,0],[0,6880,7008,1,0],[1,6892,6948,1,0],[0,7008,7136,1,0],[1,7136,7192,1,0],[0,7137,7265,1,0],[1,7192,7248,1,0],[0,7265,7393,1,0],[0,7393,7521,1,0],[0,7521,7649,1,0],[0,7649,7777,1,0],[1,7661,7717,1,0],[1,7717,7773,1,0],[1,7773,7829,1,0],[0,7777,7905,1,0],[1,7829,7885,1,0],[0,7905,8033,1,0],[1,8033,8089,1,0],[1,8089,8145,1,0],[1,8337,8393,1,0],[1,8413,8485,1,0],[1,8485,8557,1,0],[1,8557,8629,1,0],[1,8629,8701,1,0],[1,8701,8773,1,0],[1,8773,8845,1,0],[1,8845,8917,1,0]],[[0,0,128,1,0],[1,80,208,1,0],[0,128,256,1,0],[1,208,336,1,0],[0,256,384,1,0],[1,336,464,1,0],[0,384,512,1,0],[1,464,592,1,0],[0,512,640,1,0],[1,592,720,1,0],[0,640,768,1,0],[1,720,848,1,0],[0,768,896,1,0],[1,848,976,1,0],[0,919,1047,1,0],[1,976,1104,1,0],[0,1047,1175,1,0],[1,1104,1232,1,0],[0,1175,1303,1,0],[1,1232,1360,1,0],[0,1303,1431,1,0],[1,1360,1488,1,0],[0,1431,1559,1,0],[1,1488,1616,1,0],[0,1559,1687,1,0],[1,1616,1744,1,0],[0,1687,1815,1,0],[1,1744,1872,1,0],[1,2506,2634,1,0],[0,2514,2642,1,0],[1,2634,2762,1,0],[1,2762,2890,1,0],[1,2890,3018,1,0],[1,3018,3146,1,0],[1,3146,3274,1,0],[0,3174,3302,1,0],[1,3274,3402,1,0],[0,3302,3430,1,0],[1,3402,3530,1,0],[0,3430,3558,1,0],[1,3530,3658,1,0],[0,3558,3686,1,0],[1,3658,3786,1,0],[0,3686,3814,1,0],[0,3814,3942,1,0],[1,3942,4070,1,0],[1,4070,4198,1,0],[1,4198,4326,1,0],[0,4306,4434,1,0],[1,4326,4454,1,0],[0,4434,4562,1,0],[0,4597,4725,1,0],[1,4599,4727,1,0],[0,4725,4853,1,0],[1,4727,4855,1,0],[0,4853,4981,1,0],[1,4855,4983,1,0],[0,4981,5109,1,0],[1,4983,5111,1,0],[0,5109,5237,1,0],[1,5111,5239,1,0],[0,5237,5365,1,0],[0,5365,5493,1,0],[0,5493,5621,1,0],[1,5495,5623,1,0],[0,5621,5749,1,0],[1,5623,5751,1,0],[0,5749,5877,1,0],[1,5751,5879,1,0],[0,5877,6005,1,0],[0,6005,6133,1,0],[1,6133,6261,1,0],[1,6261,6389,1,0],[1,6389,6517,1,0],[1,6517,6645,1,0],[0,6542,6670,1,0],[1,6645,6773,1,0],[0,6670,6798,1,0],[1,6773,6901,1,0],[0,6801,6929,1,0],[1,6901,7029,1,0],[0,6929,7057,1,0],[1,7029,7157,1,0],[0,7057,7185,1,0],[1,7157,7285,1,0],[0,7185,7313,1,0],[1,7285,7413,1,0],[0,7313,7441,1,0],[0,7441,7569,1,0],[0,7569,7697,1,0],[0,7697,7825,1,0],[0,7825,7953,1,0],[0,7953,8081,1,0],[0,8081,8209,1,0],[0,8209,8337,1,0],[0,8337,8409,1,0],[0,8409,8481,1,0],[0,8677,8749,1,0],[0,8749,8821,1,0],[0,8821,8893,1,0],[0,8893,8965,1,0],[0,8965,9037,1,0]],[[0,35,163,1,0],[1,79,151,1,0],[1,151,223,1,0],[0,163,291,1,0],[1,223,295,1,0],[0,291,419,1,0],[1,295,367,1,0],[1,367,439,1,0],[0,419,547,1,0],[1,439,511,1,0],[1,511,583,1,0],[0,547,675,1,0],[0,675,803,1,0],[0,803,931,1,0],[1,860,916,1,0],[1,916,972,1,0],[0,931,1059,1,0],[1,972,1028,1,0],[1,1028,1084,1,0],[0,1059,1187,1,0],[1,1084,1140,1,0],[1,1140,1196,1,0],[0,1187,1315,1,0],[0,1315,1443,1,0],[0,1443,1571,1,0],[0,1571,1699,1,0],[0,1699,1827,1,0],[1,2210,2266,1,0],[1,2266,2322,1,0],[1,2322,2378,1,0],[1,2378,2434,1,0],[0,2414,2542,1,0],[1,2434,2490,1,0],[1,2490,2546,1,0],[0,2542,2670,1,0],[0,2670,2798,1,0],[1,2790,2846,1,0],[0,2798,2926,1,0],[1,2846,2902,1,0],[1,2902,2958,1,0],[0,2926,3054,1,0],[1,2958,3014,1,0],[1,3014,3070,1,0],[0,3054,3182,1,0],[1,3070,3126,1,0],[1,3126,3182,1,0],[0,3187,3315,1,0],[1,3315,3387,1,0],[1,3387,3459,1,0],[1,3459,3531,1,0],[1,3531,3603,1,0],[1,3603,3675,1,0],[1,3675,3747,1,0],[0,3952,4080,1,0],[1,4057,4129,1,0],[0,4080,4208,1,0],[1,4129,4201,1,0],[1,4201,4273,1,0],[0,4208,4336,1,0],[1,4273,4345,1,0],[0,4336,4464,1,0],[1,4345,4417,1,0],[1,4417,4489,1,0],[0,4471,4599,1,0],[1,4589,4645,1,0],[0,4599,4727,1,0],[1,4645,4701,1,0],[1,4701,4757,1,0],[0,4727,4855,1,0],[1,4757,4813,1,0],[1,4813,4869,1,0],[0,4855,4983,1,0],[1,4869,4925,1,0],[1,4925,4981,1,0],[0,4983,5111,1,0],[1,4985,5057,1,0],[1,5057,5129,1,0],[0,5111,5239,1,0],[1,5129,5201,1,0],[0,5239,5367,1,0],[1,5367,5439,1,0],[0,5368,5496,1,0],[1,5439,5511,1,0],[0,5496,5624,1,0],[1,5511,5583,1,0],[1,5583,5655,1,0],[0,5660,5788,1,0],[1,5788,5844,1,0],[1,5844,5900,1,0],[1,5900,5956,1,0],[1,5956,6012,1,0],[1,6012,6068,1,0],[1,6068,6124,1,0],[1,6124,6180,1,0],[0,6238,6366,1,0],[1,6293,6365,1,0],[1,6365,6437,1,0],[0,6366,6494,1,0],[1,6437,6509,1,0],[0,6494,6622,1,0],[1,6509,6581,1,0],[1,6581,6653,1,0],[0,6622,6750,1,0],[1,6653,6725,1,0],[1,6725,6781,1,0],[0,6750,6878,1,0],[1,6781,6837,1,0],[1,6837,6893,1,0],[0,6878,7006,1,0],[1,6893,6949,1,0],[0,7006,7134,1,0],[1,7134,7190,1,0],[0,7135,7263,1,0],[1,7190,7246,1,0],[0,7263,7391,1,0],[0,7391,7519,1,0],[0,7519,7647,1,0],[0,7647,7775,1,0],[1,7657,7713,1,0],[1,7713,7769,1,0],[1,7769,7825,1,0],[0,7775,7903,1,0],[1,7825,7881,1,0],[0,7903,8031,1,0],[1,8031,8087,1,0],[1,8087,8143,1,0],[1,8333,8389,1,0],[1,8411,8483,1,0],[1,8483,8555,1,0],[1,8555,8627,1,0],[1,8627,8699,1,0],[1,8699,8771,1,0],[1,8771,8843,1,0],[1,8843,8915,1,0]],[[0,18,146,1,0],[1,79,207,1,0],[0,146,274,1,0],[1,209,337,1,0],[0,274,402,1,0],[1,337,465,1,0],[0,402,530,1,0],[1,465,593,1,0],[0,530,658,1,0],[1,593,721,1,0],[0,658,786,1,0],[1,721,849,1,0],[0,786,914,1,0],[1,849,977,1,0],[0,914,1042,1,0],[0,1042,1170,1,0],[0,1170,1298,1,0],[0,1298,1426,1,0],[0,1426,1554,1,0],[1,1554,1682,1,0],[1,1682,1810,1,0],[1,1810,1938,1,0],[1,1938,2066,1,0],[0,1943,2071,1,0],[1,2066,2194,1,0],[0,2071,2199,1,0],[1,2194,2322,1,0],[0,2199,2327,1,0],[1,2322,2450,1,0],[0,2327,2455,1,0],[1,2450,2578,1,0],[0,2455,2583,1,0],[1,2578,2706,1,0],[0,2583,2711,1,0],[1,2706,2834,1,0],[1,2834,2962,1,0],[1,2962,3090,1,0],[1,3090,3218,1,0],[0,3117,3189,1,0],[0,3189,3261,1,0],[1,3218,3346,1,0],[0,3261,3333,1,0],[0,3333,3405,1,0],[1,3346,3474,1,0],[0,3405,3533,1,0],[1,3474,3602,1,0],[0,3547,3619,1,0],[1,3602,3730,1,0],[0,3619,3691,1,0],[0,3691,3819,1,0],[1,3730,3858,1,0],[0,3819,3947,1,0],[1,3858,3986,1,0],[0,3947,4075,1,0],[1,3986,4114,1,0],[0,4075,4203,1,0],[0,4203,4331,1,0],[1,4331,4459,1,0],[1,4459,4587,1,0],[1,4587,4715,1,0],[1,4715,4843,1,0],[1,4843,4971,1,0],[1,4971,5099,1,0],[1,5099,5227,1,0],[1,5227,5355,1,0],[0,5232,5360,1,0],[1,5355,5483,1,0],[0,5360,5488,1,0],[1,5483,5611,1,0],[0,5488,5616,1,0],[1,5611,5739,1,0],[0,5616,5744,1,0],[1,5739,5867,1,0],[0,5744,5872,1,0],[1,5867,5995,1,0],[0,5872,6000,1,0],[0,6000,6128,1,0],[0,6128,6256,1,0],[0,6256,6384,1,0],[0,6384,6512,1,0],[0,6512,6640,1,0],[0,6640,6768,1,0]],[[0,0,128,1,0],[1,80,208,1,0],[0,128,256,1,0],[1,208,336,1,0],[0,256,384,1,0],[1,336,464,1,0],[0,384,512,1,0],[1,464,592,1,0],[0,512,640,1,0],[1,592,720,1,0],[0,640,768,1,0],[1,720,848,1,0],[0,786,914,1,0],[0,914,1042,1,0],[0,1042,1170,1,0],[0,1170,1298,1,0],[0,1298,1426,1,0],[0,1426,1554,1,0],[1,1554,1682,1,0],[1,1682,1810,1,0],[1,1810,1938,1,0],[1,1938,2066,1,0],[1,2066,2194,1,0],[1,2194,2322,1,0],[1,2322,2450,1,0],[1,2450,2578,1,0],[0,2467,2595,1,0],[1,2578,2706,1,0],[0,2595,2723,1,0],[0,2723,2851,1,0],[0,2851,2979,1,0],[0,2979,3107,1,0],[0,3107,3235,1,0],[1,3235,3363,1,0],[0,3288,3416,1,0],[1,3363,3491,1,0],[0,3416,3544,1,0],[1,3491,3619,1,0],[0,3544,3672,1,0],[1,3619,3747,1,0],[0,3672,3800,1,0],[1,3747,3875,1,0],[0,3880,4008,1,0],[0,4008,4136,1,0],[0,4136,4264,1,0],[0,4264,4392,1,0],[1,4392,4520,1,0],[1,4520,4648,1,0],[1,4648,4776,1,0],[1,4776,4904,1,0],[1,4904,5032,1,0],[1,5032,5160,1,0],[0,5037,5165,1,0],[0,5165,5293,1,0],[0,5293,5421,1,0],[0,5421,5549,1,0],[1,5549,5677,1,0],[1,5677,5805,1,0],[1,5805,5933,1,0],[0,5897,5969,1,0],[1,5933,6061,1,0],[0,5969,6041,1,0],[1,6061,6189,1,0],[0,6131,6259,1,0],[1,6189,6317,1,0],[0,6259,6387,1,0],[1,6317,6445,1,0],[0,6450,6578,1,0],[0,6578,6706,1,0],[0,6706,6834,1,0],[0,6834,6962,1,0],[0,6962,7034,1,0],[0,7034,7106,1,0],[0,7106,7178,1,0],[0,7178,7250,1,0],[1,7250,7378,1,0],[1,7378,7506,1,0],[1,7506,7634,1,0],[1,7634,7762,1,0],[1,7762,7890,1,0],[1,7890,8018,1,0],[1,8018,8146,1,0]],[[0,19,147,1,0],[1,79,207,1,0],[0,147,275,1,0],[1,207,335,1,0],[0,275,403,1,0],[1,335,463,1,0],[0,403,531,1,0],[1,463,591,1,0],[0,531,659,1,0],[1,591,719,1,0],[0,659,787,1,0],[1,719,847,1,0],[0,787,915,1,0],[1,847,975,1,0],[0,915,1043,1,0],[0,1043,1171,1,0],[0,1171,1299,1,0],[0,1299,1427,1,0],[0,1427,1555,1,0],[1,1555,1683,1,0],[1,1683,1811,1,0],[1,1811,1939,1,0],[1,1939,2067,1,0],[0,1944,2072,1,0],[1,2067,2195,1,0],[0,2072,2200,1,0],[1,2195,2323,1,0],[0,2200,2328,1,0],[1,2323,2451,1,0],[0,2328,2456,1,0],[0,2456,2584,1,0],[1,2574,2702,1,0],[0,2584,2712,1,0],[1,2702,2830,1,0],[1,2830,2958,1,0],[1,2958,3086,1,0],[1,3086,3214,1,0],[1,3214,3342,1,0],[1,3342,3470,1,0],[0,3419,3547,1,0],[1,3470,3598,1,0],[0,3553,3625,1,0],[1,3598,3726,1,0],[0,3625,3697,1,0],[0,3697,3769,1,0],[1,3726,3854,1,0],[0,3769,3841,1,0],[0,3841,3913,1,0],[1,3854,3982,1,0],[0,3913,3985,1,0],[1,3982,4110,1,0],[0,3985,4113,1,0],[1,4110,4238,1,0],[0,4113,4241,1,0],[0,4241,4369,1,0],[0,4369,4497,1,0],[0,4497,4625,1,0],[1,4625,4753,1,0],[1,4753,4881,1,0],[1,4881,5009,1,0],[1,5009,5137,1,0],[1,5137,5265,1,0],[1,5265,5393,1,0],[1,5393,5521,1,0],[1,5521,5649,1,0],[0,5526,5654,1,0],[1,5649,5777,1,0],[0,5654,5782,1,0],[1,5777,5905,1,0],[0,5782,5910,1,0],[1,5905,6033,1,0],[0,5910,6038,1,0],[1,6033,6161,1,0],[0,6038,6166,1,0],[1,6161,6289,1,0],[0,6166,6294,1,0],[0,6294,6422,1,0],[0,6422,6550,1,0],[0,6550,6678,1,0],[0,6678,6806,1,0],[0,6806,6934,1,0],[0,6934,7062,1,0]],[[0,0,128,1,0],[1,80,208,1,0],[0,128,256,1,0],[1,208,336,1,0],[0,256,384,1,0],[1,336,464,1,0],[0,384,512,1,0],[1,464,592,1,0],[0,512,640,1,0],[1,592,720,1,0],[0,640,768,1,0],[1,720,848,1,0],[0,787,915,1,0],[1,850,978,1,0],[0,915,1043,1,0],[0,1043,1171,1,0],[0,1171,1299,1,0],[0,1299,1427,1,0],[0,1427,1555,1,0],[1,1555,1683,1,0],[1,1683,1811,1,0],[1,1811,1939,1,0],[1,1939,2067,1,0],[1,2067,2195,1,0],[1,2195,2323,1,0],[1,2323,2451,1,0],[1,2451,2579,1,0],[0,2466,2594,1,0],[1,2579,2707,1,0],[0,2594,2722,1,0],[0,2722,2850,1,0],[0,2850,2978,1,0],[0,2978,3106,1,0],[0,3106,3234,1,0],[1,3234,3362,1,0],[0,3234,3362,1,0],[1,3362,3490,1,0],[0,3362,3490,1,0],[1,3490,3618,1,0],[0,3490,3618,1,0],[1,3618,3746,1,0],[0,3618,3746,1,0],[0,3751,3879,1,0],[0,3879,4007,1,0],[0,4007,4135,1,0],[1,4135,4263,1,0],[0,4136,4264,1,0],[1,4263,4391,1,0],[1,4391,4519,1,0],[1,4519,4647,1,0],[1,4647,4775,1,0],[1,4775,4903,1,0],[0,4908,5036,1,0],[0,5036,5164,1,0],[0,5164,5292,1,0],[0,5292,5420,1,0],[1,5420,5548,1,0],[1,5548,5676,1,0],[1,5676,5804,1,0],[1,5804,5932,1,0],[0,5895,5967,1,0],[1,5932,6060,1,0],[0,6005,6133,1,0],[1,6060,6188,1,0],[0,6133,6261,1,0],[1,6188,6316,1,0],[0,6261,6389,1,0],[0,6389,6517,1,0],[0,6517,6645,1,0],[0,6645,6773,1,0],[0,6773,6845,1,0],[1,6775,6903,1,0],[0,6845,6917,1,0],[0,6917,6989,1,0],[0,6989,7061,1,0],[0,7061,7133,1,0],[1,7133,7261,1,0],[1,7261,7389,1,0],[1,7389,7517,1,0],[1,7517,7645,1,0],[1,7645,7773,1,0],[1,7773,7901,1,0]],[[0,24,152,1,0],[1,79,207,1,0],[0,152,280,1,0],[1,207,335,1,0],[0,280,408,1,0],[1,335,463,1,0],[0,408,536,1,0],[1,463,591,1,0],[0,536,664,1,0],[1,591,719,1,0],[0,664,792,1,0],[1,719,847,1,0],[0,792,920,1,0],[1,1006,1134,1,0],[1,1134,1262,1,0],[1,1262,1390,1,0],[1,1762,1890,1,0],[1,1890,2018,1,0],[0,1946,2066,1,0],[1,2018,2146,1,0],[0,2066,2186,1,0],[1,2146,2274,1,0],[0,2186,2306,1,0],[1,2274,2402,1,0],[0,2306,2426,1,0],[1,2402,2530,1,0],[0,2426,2546,1,0],[1,2530,2658,1,0],[0,2546,2666,1,0],[1,2658,2786,1,0],[0,2666,2786,1,0],[1,2786,2914,1,0],[0,2807,2927,1,0],[1,2914,3042,1,0],[0,2927,3047,1,0],[0,3047,3167,1,0],[0,3167,3287,1,0],[0,3287,3407,1,0],[0,3407,3527,1,0],[0,3527,3647,1,0],[1,3880,4008,1,0],[1,4008,4136,1,0],[1,4136,4264,1,0],[1,4264,4392,1,0],[0,4377,4497,1,0],[1,4392,4520,1,0],[0,4497,4617,1,0],[1,4520,4648,1,0],[0,4617,4737,1,0],[1,4648,4776,1,0],[0,4737,4857,1,0],[0,4857,4977,1,0],[0,4977,5097,1,0],[0,5097,5217,1,0],[0,5217,5337,1,0],[0,5337,5457,1,0],[0,5457,5577,1,0],[1,5549,5677,1,0],[0,5577,5697,1,0],[1,5677,5805,1,0],[0,5697,5817,1,0],[1,5805,5933,1,0],[0,5817,5937,1,0],[1,5933,6061,1,0],[0,5937,6057,1,0],[0,6057,6177,1,0],[1,6061,6189,1,0],[0,6177,6297,1,0],[1,6189,6317,1,0],[0,6297,6417,1,0],[0,6417,6537,1,0],[0,6537,6657,1,0],[1,6634,6762,1,0],[0,6657,6777,1,0],[1,6762,6890,1,0],[0,6777,6897,1,0],[1,6890,7018,1,0],[0,6897,7017,1,0],[0,7017,7137,1,0],[1,7018,7146,1,0],[0,7137,7257,1,0],[1,7146,7274,1,0],[0,7257,7377,1,0],[1,7274,7402,1,0],[0,7377,7497,1,0],[1,7402,7530,1,0],[0,7497,7617,1,0],[0,7617,7737,1,0],[0,7737,7857,1,0],[0,7857,7977,1,0],[0,7977,8097,1,0],[0,8097,8217,1,0],[1,8108,8236,1,0],[0,8217,8337,1,0],[1,8236,8364,1,0],[0,8337,8457,1,0],[1,8364,8492,1,0],[0,8457,8577,1,0],[1,8492,8620,1,0],[1,8620,8748,1,0],[1,8748,8876,1,0],[1,8876,9004,1,0]],[[0,18,138,1,0],[1,79,207,1,0],[0,138,258,1,0],[1,207,335,1,0],[0,258,378,1,0],[1,335,463,1,0],[0,378,498,1,0],[1,463,591,1,0],[0,498,618,1,0],[1,591,719,1,0],[0,618,738,1,0],[1,719,847,1,0],[0,738,858,1,0],[1,847,975,1,0],[0,964,1084,1,0],[1,975,1103,1,0],[0,1084,1204,1,0],[1,1103,1231,1,0],[0,1204,1324,1,0],[1,1231,1359,1,0],[0,1324,1444,1,0],[1,1359,1487,1,0],[0,1444,1564,1,0],[1,1487,1615,1,0],[0,1564,1684,1,0],[0,1684,1804,1,0],[1,1731,1859,1,0],[1,1859,1987,1,0],[1,1987,2115,1,0],[1,2115,2243,1,0],[0,2142,2262,1,0],[1,2243,2371,1,0],[0,2262,2382,1,0],[1,2371,2499,1,0],[0,2382,2502,1,0],[1,2499,2627,1,0],[0,2502,2622,1,0],[0,2622,2742,1,0],[0,2742,2862,1,0],[0,2862,2982,1,0],[0,2982,3110,1,0],[0,3110,3238,1,0],[0,3238,3366,1,0],[1,3296,3424,1,0],[0,3366,3494,1,0],[1,3424,3552,1,0],[0,3494,3622,1,0],[1,3552,3680,1,0],[0,3622,3750,1,0],[1,3680,3808,1,0],[0,3750,3878,1,0],[1,3808,3936,1,0],[1,3936,4064,1,0],[1,4064,4192,1,0],[1,4192,4320,1,0],[1,4320,4448,1,0],[1,4448,4576,1,0],[1,4576,4704,1,0],[1,4704,4832,1,0],[1,4832,4960,1,0],[0,5323,5443,1,0],[1,5406,5534,1,0],[0,5443,5563,1,0],[1,5534,5662,1,0],[0,5563,5683,1,0],[1,5662,5790,1,0],[0,5683,5803,1,0],[1,5790,5918,1,0],[0,5904,6024,1,0],[1,5918,6046,1,0],[0,6024,6144,1,0],[1,6046,6174,1,0],[0,6144,6264,1,0],[0,6264,6384,1,0],[0,6384,6504,1,0],[0,6504,6624,1,0],[0,6624,6744,1,0],[1,6647,6775,1,0],[0,6744,6864,1,0],[0,6864,6984,1,0],[0,6984,7104,1,0],[0,7104,7224,1,0],[1,7165,7293,1,0],[0,7224,7344,1,0],[1,7293,7421,1,0],[0,7344,7464,1,0],[1,7421,7549,1,0],[0,7464,7584,1,0],[1,7549,7677,1,0],[0,7584,7704,1,0],[1,7677,7805,1,0],[0,7704,7824,1,0],[1,7805,7933,1,0],[0,7824,7944,1,0],[1,7933,8061,1,0],[0,8246,8366,1,0],[0,8366,8486,1,0],[0,8486,8606,1,0],[0,8606,8726,1,0],[0,8726,8846,1,0],[0,8846,8966,1,0],[0,8966,9086,1,0]],[[0,23,151,1,0],[1,79,207,1,0],[0,151,279,1,0],[1,207,335,1,0],[0,279,407,1,0],[1,335,463,1,0],[0,407,535,1,0],[1,463,591,1,0],[0,535,663,1,0],[1,591,719,1,0],[0,663,791,1,0],[1,719,847,1,0],[0,791,919,1,0],[1,1007,1135,1,0],[1,1135,1263,1,0],[1,1263,1391,1,0],[1,1762,1890,1,0],[1,1890,2018,1,0],[0,1943,2063,1,0],[1,2018,2146,1,0],[0,2063,2183,1,0],[1,2146,2274,1,0],[0,2183,2303,1,0],[1,2274,2402,1,0],[0,2303,2423,1,0],[1,2402,2530,1,0],[0,2423,2543,1,0],[1,2530,2658,1,0],[0,2543,2663,1,0],[1,2658,2786,1,0],[0,2663,2783,1,0],[1,2786,2914,1,0],[0,2806,2926,1,0],[1,2914,3042,1,0],[0,2926,3046,1,0],[0,3046,3166,1,0],[0,3166,3286,1,0],[0,3286,3406,1,0],[0,3406,3526,1,0],[0,3526,3646,1,0],[1,3881,4009,1,0],[1,4009,4137,1,0],[1,4137,4265,1,0],[1,4265,4393,1,0],[0,4378,4498,1,0],[1,4393,4521,1,0],[0,4498,4618,1,0],[1,4521,4649,1,0],[0,4618,4738,1,0],[1,4649,4777,1,0],[0,4738,4858,1,0],[0,4858,4978,1,0],[0,4978,5098,1,0],[0,5098,5218,1,0],[0,5218,5338,1,0],[0,5338,5458,1,0],[0,5458,5578,1,0],[0,5578,5698,1,0],[0,5698,5818,1,0],[0,5818,5938,1,0],[0,5938,6058,1,0],[0,6058,6178,1,0],[1,6062,6190,1,0],[0,6178,6298,1,0],[1,6190,6318,1,0],[0,6298,6418,1,0],[1,6318,6446,1,0],[0,6418,6538,1,0],[1,6446,6574,1,0],[0,6538,6658,1,0],[1,6574,6702,1,0],[0,6658,6778,1,0],[1,6702,6830,1,0],[0,6778,6898,1,0],[0,7210,7330,1,0],[0,7330,7450,1,0],[1,7410,7538,1,0],[0,7450,7570,1,0],[1,7538,7666,1,0],[0,7570,7690,1,0],[1,7666,7794,1,0],[0,7690,7810,1,0],[1,7806,7934,1,0],[0,7810,7930,1,0],[0,7930,8050,1,0],[1,7934,8062,1,0],[0,8050,8170,1,0],[1,8062,8190,1,0],[0,8170,8290,1,0],[1,8190,8318,1,0],[0,8323,8443,1,0],[0,8443,8563,1,0],[1,8445,8573,1,0],[0,8563,8683,1,0],[0,8683,8803,1,0],[0,8803,8923,1,0],[1,9512,9640,1,0],[1,9640,9768,1,0],[1,9768,9896,1,0],[1,9896,10024,1,0],[1,10024,10152,1,0],[1,10152,10280,1,0]],[[0,19,139,1,0],[1,79,207,1,0],[0,139,259,1,0],[1,207,335,1,0],[0,259,379,1,0],[1,335,463,1,0],[0,379,499,1,0],[1,463,591,1,0],[0,499,619,1,0],[1,591,719,1,0],[0,619,739,1,0],[1,719,847,1,0],[0,739,859,1,0],[1,847,975,1,0],[0,963,1083,1,0],[1,975,1103,1,0],[0,1083,1203,1,0],[1,1103,1231,1,0],[0,1203,1323,1,0],[1,1231,1359,1,0],[0,1323,1443,1,0],[1,1359,1487,1,0],[0,1443,1563,1,0],[1,1487,1615,1,0],[0,1563,1683,1,0],[0,1683,1803,1,0],[1,1728,1856,1,0],[1,1856,1984,1,0],[1,1984,2112,1,0],[1,2112,2240,1,0],[0,2140,2260,1,0],[1,2240,2368,1,0],[0,2260,2380,1,0],[1,2368,2496,1,0],[0,2380,2500,1,0],[1,2496,2624,1,0],[0,2500,2620,1,0],[0,2620,2740,1,0],[0,2740,2860,1,0],[0,2860,2980,1,0],[0,2980,3108,1,0],[0,3108,3236,1,0],[0,3236,3364,1,0],[1,3295,3423,1,0],[0,3364,3492,1,0],[1,3423,3551,1,0],[0,3492,3620,1,0],[1,3551,3679,1,0],[0,3620,3748,1,0],[1,3679,3807,1,0],[0,3748,3876,1,0],[1,3807,3935,1,0],[1,3935,4063,1,0],[1,4063,4191,1,0],[1,4191,4319,1,0],[1,4319,4447,1,0],[1,4447,4575,1,0],[1,4575,4703,1,0],[1,4703,4831,1,0],[1,4831,4959,1,0],[0,5320,5440,1,0],[1,5404,5532,1,0],[0,5440,5560,1,0],[1,5532,5660,1,0],[0,5560,5680,1,0],[1,5660,5788,1,0],[0,5680,5800,1,0],[1,5788,5916,1,0],[0,5902,6022,1,0],[1,5916,6044,1,0],[0,6022,6142,1,0],[1,6044,6172,1,0],[0,6142,6262,1,0],[0,6262,6382,1,0],[0,6382,6502,1,0],[0,6502,6622,1,0],[0,6622,6742,1,0],[1,6646,6774,1,0],[0,6742,6862,1,0],[0,6862,6982,1,0],[0,6982,7102,1,0],[0,7102,7222,1,0],[1,7163,7291,1,0],[0,7222,7342,1,0],[1,7291,7419,1,0],[0,7342,7462,1,0],[1,7419,7547,1,0],[0,7462,7582,1,0],[1,7547,7675,1,0],[0,7582,7702,1,0],[1,7675,7803,1,0],[0,7702,7822,1,0],[1,7803,7931,1,0],[0,7822,7942,1,0],[1,7931,8059,1,0],[0,8245,8365,1,0],[0,8365,8485,1,0],[0,8485,8605,1,0],[0,8605,8725,1,0],[0,8725,8845,1,0],[0,8845,8965,1,0],[0,8965,9085,1,0]],[[0,24,144,1,0],[1,79,207,1,0],[0,144,264,1,0],[1,207,335,1,0],[0,264,384,1,0],[1,335,463,1,0],[0,386,506,1,0],[1,463,591,1,0],[0,506,626,1,0],[1,591,719,1,0],[0,626,746,1,0],[1,719,847,1,0],[0,746,866,1,0],[1,847,975,1,0],[0,1045,1165,1,0],[0,1165,1285,1,0],[0,1285,1405,1,0],[0,1405,1525,1,0],[0,1525,1645,1,0],[0,1645,1765,1,0],[0,1765,1885,1,0],[0,1885,2005,1,0],[0,2005,2125,1,0],[1,2070,2198,1,0],[0,2125,2245,1,0],[1,2198,2326,1,0],[0,2245,2365,1,0],[1,2326,2454,1,0],[0,2365,2485,1,0],[1,2454,2582,1,0],[0,2485,2605,1,0],[1,2582,2710,1,0],[0,2605,2725,1,0],[1,2710,2838,1,0],[1,2838,2966,1,0],[1,2966,3094,1,0],[0,3575,3695,1,0],[0,3695,3815,1,0],[0,3841,3961,1,0],[1,3891,4019,1,0],[0,3961,4081,1,0],[1,4019,4147,1,0],[0,4081,4201,1,0],[1,4147,4275,1,0],[0,4201,4321,1,0],[1,4275,4403,1,0],[0,4321,4441,1,0],[1,4403,4531,1,0],[0,4441,4561,1,0],[1,4531,4659,1,0],[0,4561,4681,1,0],[1,4659,4787,1,0],[0,4681,4801,1,0],[1,4787,4915,1,0],[0,4801,4921,1,0],[1,4915,5043,1,0],[0,4921,5041,1,0],[0,5041,5161,1,0],[0,5161,5281,1,0],[1,5281,5409,1,0],[0,5353,5473,1,0],[1,5409,5537,1,0],[0,5473,5593,1,0],[0,5593,5713,1,0],[0,5713,5833,1,0],[0,5833,5953,1,0],[1,5920,6048,1,0],[0,5953,6073,1,0],[1,6048,6176,1,0],[0,6073,6193,1,0],[1,6176,6304,1,0],[0,6193,6313,1,0],[1,6304,6432,1,0],[0,6313,6433,1,0],[1,6432,6560,1,0],[0,6433,6553,1,0],[0,6553,6673,1,0],[1,6560,6688,1,0],[0,6673,6793,1,0],[0,6793,6913,1,0],[0,6913,7033,1,0],[1,7251,7379,1,0],[1,7379,7507,1,0],[1,7507,7635,1,0],[1,7635,7763,1,0],[1,7763,7891,1,0],[1,7891,8019,1,0],[1,8019,8147,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,319,439,1,0],[1,439,559,1,0],[1,559,679,1,0],[0,564,684,1,0],[1,679,799,1,0],[0,684,804,1,0],[1,799,919,1,0],[0,804,924,1,0],[1,919,1039,1,0],[0,924,1044,1,0],[1,1039,1159,1,0],[0,1044,1164,1,0],[1,1159,1279,1,0],[0,1164,1284,1,0],[1,1279,1399,1,0],[0,1284,1404,1,0],[1,1399,1519,1,0],[0,1404,1524,1,0],[1,1519,1639,1,0],[0,1524,1644,1,0],[1,1639,1759,1,0],[0,1644,1764,1,0],[0,1764,1884,1,0],[0,1884,2004,1,0],[0,2004,2132,1,0],[0,2132,2260,1,0],[0,2260,2388,1,0],[1,2311,2431,1,0],[0,2388,2516,1,0],[1,2431,2551,1,0],[0,2516,2644,1,0],[1,2551,2671,1,0],[0,2644,2772,1,0],[1,2671,2791,1,0],[1,2791,2911,1,0],[1,2911,3031,1,0],[1,3031,3151,1,0],[0,3103,3223,1,0],[0,3223,3343,1,0],[0,3343,3463,1,0],[0,3463,3583,1,0],[0,3583,3703,1,0],[0,3703,3823,1,0],[1,3823,3943,1,0],[1,3943,4063,1,0],[1,4063,4183,1,0],[1,4183,4303,1,0],[1,4303,4423,1,0],[1,4423,4543,1,0],[1,4543,4663,1,0],[0,4733,4853,1,0],[0,4853,4973,1,0],[0,4973,5093,1,0],[0,5093,5213,1,0],[0,5213,5333,1,0],[0,5333,5453,1,0],[1,5378,5498,1,0],[0,5453,5573,1,0],[1,5498,5618,1,0],[0,5573,5693,1,0],[1,5618,5738,1,0],[0,5693,5813,1,0],[1,5738,5858,1,0],[0,5813,5933,1,0],[1,5858,5978,1,0],[0,5933,6053,1,0],[1,5978,6098,1,0],[0,6053,6173,1,0],[1,6098,6218,1,0],[1,6218,6338,1,0],[0,6295,6415,1,0],[0,6415,6535,1,0],[0,6535,6655,1,0],[0,6655,6775,1,0],[0,6775,6895,1,0],[0,6895,7015,1,0],[1,6925,7045,1,0],[1,7045,7165,1,0],[1,7165,7285,1,0],[1,7285,7405,1,0]],[[0,23,143,1,0],[1,79,207,1,0],[0,143,263,1,0],[1,207,335,1,0],[0,263,383,1,0],[1,335,463,1,0],[0,383,503,1,0],[1,463,591,1,0],[0,503,623,1,0],[1,591,719,1,0],[0,623,743,1,0],[1,719,847,1,0],[0,743,863,1,0],[1,847,975,1,0],[0,1043,1163,1,0],[0,1163,1283,1,0],[0,1283,1403,1,0],[0,1403,1523,1,0],[0,1523,1643,1,0],[0,1643,1763,1,0],[0,1763,1883,1,0],[1,1949,2077,1,0],[1,2077,2205,1,0],[1,2205,2333,1,0],[1,2794,2922,1,0],[1,2922,3050,1,0],[1,3050,3178,1,0],[0,3066,3186,1,0],[0,3186,3306,1,0],[1,3299,3427,1,0],[0,3306,3426,1,0],[0,3426,3546,1,0],[1,3427,3555,1,0],[0,3546,3666,1,0],[1,3555,3683,1,0],[0,3666,3786,1,0],[1,3683,3811,1,0],[0,3786,3906,1,0],[1,3811,3939,1,0],[0,3906,4026,1,0],[1,3939,4067,1,0],[0,4026,4146,1,0],[1,4067,4195,1,0],[0,4146,4266,1,0],[0,4266,4386,1,0],[0,4386,4506,1,0],[1,4444,4572,1,0],[0,4506,4626,1,0],[1,4572,4700,1,0],[0,4626,4746,1,0],[1,4700,4828,1,0],[0,4746,4866,1,0],[1,4828,4956,1,0],[0,4866,4986,1,0],[1,4956,5084,1,0],[0,4986,5106,1,0],[1,5084,5212,1,0],[0,5106,5226,1,0],[1,5223,5351,1,0],[0,5226,5346,1,0],[0,5346,5466,1,0],[0,5466,5586,1,0],[1,5586,5714,1,0],[1,5714,5842,1,0],[1,5842,5970,1,0],[1,5970,6098,1,0],[0,6071,6191,1,0],[0,6191,6311,1,0],[0,6311,6431,1,0],[0,6431,6551,1,0],[0,6551,6671,1,0],[0,6671,6791,1,0],[0,6791,6911,1,0],[1,6851,6979,1,0],[0,6911,7031,1,0],[0,7031,7151,1,0],[0,7151,7271,1,0],[0,7271,7391,1,0],[0,7391,7511,1,0],[0,7511,7631,1,0],[1,7513,7641,1,0],[0,7631,7751,1,0],[1,7641,7769,1,0],[1,7769,7897,1,0],[1,7897,8025,1,0],[1,8025,8153,1,0],[1,8153,8281,1,0],[1,8281,8409,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,319,439,1,0],[1,439,559,1,0],[1,559,679,1,0],[0,564,684,1,0],[1,679,799,1,0],[0,684,804,1,0],[1,799,919,1,0],[0,804,924,1,0],[1,919,1039,1,0],[0,924,1044,1,0],[1,1039,1159,1,0],[0,1044,1164,1,0],[1,1159,1279,1,0],[0,1164,1284,1,0],[1,1279,1399,1,0],[0,1284,1404,1,0],[1,1399,1519,1,0],[0,1404,1524,1,0],[1,1519,1639,1,0],[0,1524,1644,1,0],[1,1639,1759,1,0],[0,1644,1764,1,0],[0,1764,1884,1,0],[0,1884,2004,1,0],[0,2004,2132,1,0],[0,2132,2260,1,0],[0,2260,2388,1,0],[1,2308,2428,1,0],[0,2388,2516,1,0],[1,2428,2548,1,0],[0,2516,2644,1,0],[1,2548,2668,1,0],[0,2644,2772,1,0],[1,2668,2788,1,0],[1,2788,2908,1,0],[1,2908,3028,1,0],[1,3028,3148,1,0],[0,3101,3221,1,0],[0,3221,3341,1,0],[0,3341,3461,1,0],[0,3461,3581,1,0],[0,3581,3701,1,0],[0,3701,3821,1,0],[1,3821,3941,1,0],[1,3941,4061,1,0],[1,4061,4181,1,0],[1,4181,4301,1,0],[1,4301,4421,1,0],[1,4421,4541,1,0],[1,4541,4661,1,0],[0,4730,4850,1,0],[0,4850,4970,1,0],[0,4970,5090,1,0],[0,5090,5210,1,0],[0,5210,5330,1,0],[0,5330,5450,1,0],[1,5376,5496,1,0],[0,5450,5570,1,0],[1,5496,5616,1,0],[0,5570,5690,1,0],[1,5616,5736,1,0],[0,5690,5810,1,0],[1,5736,5856,1,0],[0,5810,5930,1,0],[1,5856,5976,1,0],[0,5930,6050,1,0],[1,5976,6096,1,0],[0,6050,6170,1,0],[1,6096,6216,1,0],[1,6216,6336,1,0],[0,6294,6414,1,0],[0,6414,6534,1,0],[0,6534,6654,1,0],[0,6654,6774,1,0],[0,6774,6894,1,0],[0,6894,7014,1,0],[1,6924,7044,1,0],[1,7044,7164,1,0],[1,7164,7284,1,0],[1,7284,7404,1,0]],[[0,24,144,1,0],[1,79,199,1,0],[0,144,264,1,0],[1,199,319,1,0],[0,324,444,1,0],[0,444,564,1,0],[0,564,684,1,0],[0,684,804,1,0],[0,804,924,1,0],[0,924,1044,1,0],[1,1031,1151,1,0],[1,1151,1271,1,0],[1,1271,1391,1,0],[1,1391,1511,1,0],[1,1511,1631,1,0],[0,1636,1756,1,0],[0,1756,1876,1,0],[0,1876,1996,1,0],[0,1996,2116,1,0],[1,2116,2236,1,0],[0,2117,2237,1,0],[1,2236,2356,1,0],[0,2237,2357,1,0],[1,2356,2476,1,0],[1,2476,2596,1,0],[1,2596,2716,1,0],[1,2716,2836,1,0],[1,2836,2956,1,0],[0,2961,3081,1,0],[0,3081,3201,1,0],[0,3201,3321,1,0],[0,3321,3441,1,0],[0,3441,3561,1,0],[0,3561,3681,1,0],[0,3681,3801,1,0],[0,3801,3921,1,0],[0,3921,4041,1,0],[0,4041,4161,1,0],[1,4161,4281,1,0],[0,4162,4282,1,0],[1,4281,4401,1,0],[0,4282,4402,1,0],[1,4401,4521,1,0],[0,4406,4526,1,0],[1,4521,4641,1,0],[0,4526,4646,1,0],[1,4641,4761,1,0],[0,4646,4766,1,0],[1,4761,4881,1,0],[0,4766,4886,1,0],[1,4886,5006,1,0],[0,4888,5016,1,0],[1,5006,5126,1,0],[0,5016,5144,1,0],[1,5126,5246,1,0],[1,5246,5366,1,0],[1,5366,5486,1,0],[1,5486,5606,1,0],[0,5611,5739,1,0],[0,5739,5867,1,0],[0,5867,5995,1,0],[0,5995,6123,1,0],[1,6123,6243,1,0],[0,6124,6244,1,0],[1,6243,6363,1,0],[0,6244,6364,1,0],[1,6363,6483,1,0],[1,6483,6603,1,0],[1,6603,6723,1,0],[1,6723,6843,1,0],[1,6843,6963,1,0],[0,6968,7088,1,0],[0,7088,7208,1,0],[0,7208,7328,1,0],[0,7328,7448,1,0],[1,7448,7568,1,0],[1,7568,7688,1,0],[1,7688,7808,1,0],[1,7808,7928,1,0],[1,7928,8048,1,0],[1,8048,8168,1,0],[1,8168,8288,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,989,1109,1,0],[1,1109,1229,1,0],[1,1229,1349,1,0],[1,1349,1469,1,0],[1,1469,1589,1,0],[1,1589,1709,1,0],[1,1709,1829,1,0],[1,1829,1949,1,0],[1,1949,2069,1,0],[1,2069,2189,1,0],[1,2189,2309,1,0],[1,2309,2429,1,0],[1,2917,3037,1,0],[1,3037,3157,1,0],[1,3157,3277,1,0],[1,3277,3397,1,0],[1,3577,3697,1,0],[1,3697,3817,1,0],[1,3817,3937,1,0],[1,3937,4057,1,0],[1,4057,4177,1,0],[1,4177,4297,1,0],[1,4297,4417,1,0],[1,5291,5411,1,0],[1,5411,5531,1,0],[1,5531,5651,1,0],[1,5651,5771,1,0],[1,5771,5891,1,0],[1,5891,6011,1,0],[1,6011,6131,1,0],[1,6131,6251,1,0],[1,6251,6371,1,0],[1,6371,6491,1,0],[1,6491,6611,1,0],[1,6611,6731,1,0],[1,6731,6851,1,0],[1,6851,6971,1,0],[1,7297,7417,1,0],[1,7417,7537,1,0],[1,7537,7657,1,0],[1,7657,7777,1,0],[1,7777,7897,1,0],[1,7897,8017,1,0],[1,8017,8137,1,0]],[[0,23,143,1,0],[1,79,199,1,0],[0,143,263,1,0],[1,199,319,1,0],[0,263,383,1,0],[0,383,503,1,0],[0,503,623,1,0],[0,623,743,1,0],[0,743,863,1,0],[0,863,983,1,0],[0,983,1103,1,0],[1,1032,1152,1,0],[0,1103,1223,1,0],[1,1152,1272,1,0],[0,1223,1343,1,0],[1,1272,1392,1,0],[1,1392,1512,1,0],[1,1512,1632,1,0],[0,1637,1757,1,0],[1,1757,1877,1,0],[1,1877,1997,1,0],[1,1997,2117,1,0],[0,2027,2147,1,0],[1,2117,2237,1,0],[0,2147,2267,1,0],[1,2237,2357,1,0],[0,2267,2387,1,0],[1,2357,2477,1,0],[0,2387,2507,1,0],[1,2477,2597,1,0],[0,2507,2627,1,0],[0,2627,2747,1,0],[0,2872,2992,1,0],[0,2992,3112,1,0],[0,3112,3232,1,0],[0,3232,3352,1,0],[0,3352,3472,1,0],[0,3472,3592,1,0],[0,3683,3803,1,0],[1,3768,3888,1,0],[0,3803,3923,1,0],[1,3888,4008,1,0],[0,3923,4043,1,0],[1,4008,4128,1,0],[0,4043,4163,1,0],[1,4128,4248,1,0],[0,4163,4283,1,0],[1,4248,4368,1,0],[0,4283,4403,1,0],[1,4368,4488,1,0],[0,4615,4743,1,0],[0,4743,4871,1,0],[1,4757,4877,1,0],[0,4871,4999,1,0],[1,4877,4997,1,0],[1,4997,5117,1,0],[0,4999,5127,1,0],[1,5117,5237,1,0],[0,5127,5255,1,0],[1,5237,5357,1,0],[0,5255,5383,1,0],[1,5357,5477,1,0],[1,5479,5599,1,0],[1,5599,5719,1,0],[1,5719,5839,1,0],[1,5839,5959,1,0],[0,5877,5997,1,0],[1,5959,6079,1,0],[0,5997,6117,1,0],[1,6079,6199,1,0],[0,6117,6237,1,0],[1,6199,6319,1,0],[0,6237,6357,1,0],[0,6357,6477,1,0],[0,6477,6597,1,0],[1,7006,7126,1,0],[1,7126,7246,1,0],[1,7246,7366,1,0],[1,7366,7486,1,0],[1,7486,7606,1,0],[1,7606,7726,1,0],[1,7726,7846,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,988,1108,1,0],[1,1108,1228,1,0],[1,1228,1348,1,0],[1,1348,1468,1,0],[1,1468,1588,1,0],[1,1588,1708,1,0],[1,1708,1828,1,0],[1,1828,1948,1,0],[1,1948,2068,1,0],[1,2068,2188,1,0],[1,2188,2308,1,0],[1,2308,2428,1,0],[1,2914,3034,1,0],[1,3034,3154,1,0],[1,3154,3274,1,0],[1,3274,3394,1,0],[1,3577,3697,1,0],[1,3697,3817,1,0],[1,3817,3937,1,0],[1,3937,4057,1,0],[1,4057,4177,1,0],[1,4177,4297,1,0],[1,4297,4417,1,0],[1,5291,5411,1,0],[1,5411,5531,1,0],[1,5531,5651,1,0],[1,5651,5771,1,0],[1,5771,5891,1,0],[1,5891,6011,1,0],[1,6011,6131,1,0],[1,6131,6251,1,0],[1,6251,6371,1,0],[1,6371,6491,1,0],[1,6491,6611,1,0],[1,6611,6731,1,0],[1,6731,6851,1,0],[1,6851,6971,1,0],[1,7296,7416,1,0],[1,7416,7536,1,0],[1,7536,7656,1,0],[1,7656,7776,1,0],[1,7776,7896,1,0],[1,7896,8016,1,0],[1,8016,8136,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,975,1095,1,0],[1,1095,1215,1,0],[1,1215,1335,1,0],[1,1335,1455,1,0],[1,1477,1597,1,0],[1,1597,1717,1,0],[1,1717,1837,1,0],[1,1837,1957,1,0],[1,1957,2077,1,0],[1,2077,2197,1,0],[1,2849,2969,1,0],[1,2969,3089,1,0],[1,3089,3209,1,0],[1,3209,3329,1,0],[1,3329,3449,1,0],[1,3449,3569,1,0],[1,3569,3689,1,0],[1,3947,4067,1,0],[1,4067,4187,1,0],[1,4187,4307,1,0],[1,4307,4427,1,0],[1,4428,4548,1,0],[1,4548,4668,1,0],[1,4668,4788,1,0],[1,4788,4908,1,0],[1,4908,5028,1,0],[1,5028,5148,1,0],[1,5148,5268,1,0],[1,5268,5388,1,0],[1,5388,5508,1,0],[1,5508,5628,1,0],[1,6114,6234,1,0],[1,6234,6354,1,0],[1,6354,6474,1,0],[1,6474,6594,1,0],[1,6594,6714,1,0],[1,6714,6834,1,0],[1,6834,6954,1,0],[1,6954,7074,1,0],[1,7074,7194,1,0],[1,7194,7314,1,0],[1,7314,7434,1,0],[1,7434,7554,1,0],[1,7554,7674,1,0]],[[1,1366,1486,1,0],[1,1486,1606,1,0],[1,1606,1726,1,0],[1,1726,1846,1,0],[1,1846,1966,1,0],[1,1966,2086,1,0],[1,2211,2331,1,0],[1,2331,2451,1,0],[1,2451,2571,1,0],[1,2571,2691,1,0],[1,2691,2811,1,0],[1,2811,2931,1,0],[1,2931,3051,1,0],[1,3051,3171,1,0],[1,3171,3291,1,0],[1,3291,3411,1,0],[1,3411,3531,1,0],[1,3531,3651,1,0],[1,3651,3771,1,0],[1,3771,3891,1,0],[1,4755,4875,1,0],[1,4875,4995,1,0],[1,4995,5115,1,0],[1,5115,5235,1,0],[1,5235,5355,1,0],[1,5595,5715,1,0],[1,5715,5835,1,0],[1,5835,5955,1,0],[1,5955,6075,1,0],[1,6075,6195,1,0],[1,6195,6315,1,0],[1,6315,6435,1,0],[1,6435,6555,1,0],[1,6555,6675,1,0],[1,6676,6796,1,0],[1,6796,6916,1,0],[1,6916,7036,1,0],[1,7036,7156,1,0],[1,7156,7276,1,0],[1,7582,7702,1,0],[1,9082,9202,1,0],[1,9202,9322,1,0],[1,9322,9442,1,0],[1,9442,9562,1,0],[1,9562,9682,1,0],[1,9682,9802,1,0]],[[1,79,199,1,0],[1,199,319,1,0],[1,976,1096,1,0],[1,1096,1216,1,0],[1,1216,1336,1,0],[1,1336,1456,1,0],[1,1478,1598,1,0],[1,1598,1718,1,0],[1,1718,1838,1,0],[1,1838,1958,1,0],[1,1958,2078,1,0],[1,2078,2198,1,0],[1,2849,2969,1,0],[1,2969,3089,1,0],[1,3089,3209,1,0],[1,3209,3329,1,0],[1,3329,3449,1,0],[1,3449,3569,1,0],[1,3569,3689,1,0],[1,3947,4067,1,0],[1,4067,4187,1,0],[1,4187,4307,1,0],[1,4307,4427,1,0],[1,4427,4547,1,0],[1,4547,4667,1,0],[1,4667,4787,1,0],[1,4787,4907,1,0],[1,4907,5027,1,0],[1,5309,5429,1,0],[1,5429,5549,1,0],[1,5549,5669,1,0],[1,5669,5789,1,0],[1,5789,5909,1,0],[1,6116,6236,1,0],[1,6236,6356,1,0],[1,6356,6476,1,0],[1,6476,6596,1,0],[1,6596,6716,1,0],[1,6716,6836,1,0],[1,6836,6956,1,0],[1,6956,7076,1,0],[1,7076,7196,1,0],[1,7196,7316,1,0],[1,7316,7436,1,0],[1,7436,7556,1,0],[1,7556,7676,1,0]],[[1,1365,1485,1,0],[1,1485,1605,1,0],[1,1605,1725,1,0],[1,1725,1845,1,0],[1,1845,1965,1,0],[1,1965,2085,1,0],[1,2210,2330,1,0],[1,2330,2450,1,0],[1,2450,2570,1,0],[1,2570,2690,1,0],[1,2690,2810,1,0],[1,2810,2930,1,0],[1,2930,3050,1,0],[1,3050,3170,1,0],[1,3170,3290,1,0],[1,3290,3410,1,0],[1,3410,3530,1,0],[1,3530,3650,1,0],[1,3650,3770,1,0],[1,3770,3890,1,0],[1,4755,4875,1,0],[1,4875,4995,1,0],[1,4995,5115,1,0],[1,5115,5235,1,0],[1,5235,5355,1,0],[1,5595,5715,1,0],[1,5715,5835,1,0],[1,5835,5955,1,0],[1,5955,6075,1,0],[1,6075,6195,1,0],[1,6195,6315,1,0],[1,6315,6435,1,0],[1,6435,6555,1,0],[1,6555,6675,1,0],[1,6675,6795,1,0],[1,6795,6915,1,0],[1,6915,7035,1,0],[1,7035,7155,1,0],[1,7155,7275,1,0],[1,7581,7701,1,0],[1,9081,9201,1,0],[1,9201,9321,1,0],[1,9321,9441,1,0],[1,9441,9561,1,0],[1,9561,9681,1,0],[1,9681,9801,1,0]],[[0,27,155,1,0],[1,81,209,1,0],[0,155,283,1,0],[1,209,337,1,0],[0,283,411,1,0],[1,337,465,1,0],[0,411,539,1,0],[1,465,593,1,0],[0,539,667,1,0],[1,593,721,1,0],[0,667,795,1,0],[0,795,923,1,0],[1,923,1051,1,0],[1,1051,1179,1,0],[0,1160,1288,1,0],[1,1179,1307,1,0],[0,1288,1416,1,0],[1,1307,1435,1,0],[0,1416,1544,1,0],[1,1435,1563,1,0],[0,1544,1672,1,0],[1,1563,1691,1,0],[0,1672,1800,1,0],[1,1691,1819,1,0],[0,1800,1928,1,0],[0,1928,2056,1,0],[1,2056,2184,1,0],[0,2159,2287,1,0],[1,2184,2312,1,0],[0,2287,2415,1,0],[1,2312,2440,1,0],[0,2415,2543,1,0],[1,2440,2568,1,0],[0,2543,2671,1,0],[1,2568,2696,1,0],[0,2671,2799,1,0],[1,2696,2824,1,0],[0,2799,2927,1,0],[0,2927,3055,1,0],[1,3055,3183,1,0],[0,3055,3183,1,0],[1,3183,3311,1,0],[0,3183,3311,1,0],[1,3311,3439,1,0],[0,3311,3439,1,0],[0,3439,3567,1,0],[1,3566,3694,1,0],[0,3567,3695,1,0],[0,3695,3823,1,0],[0,3823,3951,1,0],[1,3951,4079,1,0],[0,4018,4146,1,0],[1,4079,4207,1,0],[0,4146,4274,1,0],[1,4207,4335,1,0],[0,4274,4402,1,0],[1,4335,4463,1,0],[0,4402,4530,1,0],[1,4463,4591,1,0],[0,4530,4658,1,0],[1,4591,4719,1,0],[0,4658,4786,1,0],[1,4719,4847,1,0],[1,4847,4975,1,0],[1,4975,5103,1,0],[0,5025,5153,1,0],[1,5103,5231,1,0],[0,5153,5281,1,0],[1,5231,5359,1,0],[0,5364,5492,1,0],[1,5492,5620,1,0],[0,5492,5620,1,0],[1,5620,5748,1,0],[0,5620,5748,1,0],[1,5748,5876,1,0],[0,5748,5876,1,0],[1,5876,6004,1,0],[0,5876,6004,1,0],[1,6004,6132,1,0],[1,6132,6260,1,0],[0,6265,6393,1,0],[0,6913,6993,1,0],[0,6993,7073,1,0],[0,7073,7153,1,0],[0,7153,7233,1,0],[0,7233,7313,1,0],[0,7313,7393,1,0],[0,7393,7473,1,0]],[[0,27,155,1,0],[1,81,209,1,0],[0,155,283,1,0],[1,209,337,1,0],[0,283,411,1,0],[1,337,465,1,0],[0,411,539,1,0],[1,465,593,1,0],[0,539,667,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,863,991,1,0],[0,991,1119,1,0],[0,1119,1247,1,0],[1,1218,1346,1,0],[0,1247,1375,1,0],[1,1346,1474,1,0],[0,1375,1503,1,0],[1,1474,1602,1,0],[0,1503,1631,1,0],[1,1602,1730,1,0],[0,1631,1759,1,0],[1,1730,1858,1,0],[0,1759,1887,1,0],[0,1887,2015,1,0],[1,2015,2143,1,0],[1,2143,2271,1,0],[0,2228,2356,1,0],[1,2306,2434,1,0],[0,2356,2484,1,0],[1,2434,2562,1,0],[0,2484,2612,1,0],[1,2562,2690,1,0],[0,2612,2740,1,0],[1,2690,2818,1,0],[0,2740,2868,1,0],[1,2818,2946,1,0],[0,2868,2996,1,0],[0,2996,3124,1,0],[1,3124,3252,1,0],[0,3124,3252,1,0],[1,3252,3380,1,0],[0,3252,3380,1,0],[0,3380,3508,1,0],[1,3382,3510,1,0],[0,3508,3636,1,0],[1,3510,3638,1,0],[0,3636,3764,1,0],[1,3638,3766,1,0],[0,3764,3892,1,0],[0,3892,4020,1,0],[1,4020,4148,1,0],[0,4020,4148,1,0],[1,4148,4276,1,0],[0,4148,4276,1,0],[1,4276,4404,1,0],[0,4276,4404,1,0],[0,4404,4532,1,0],[0,4532,4660,1,0],[1,4581,4709,1,0],[0,4660,4788,1,0],[1,4709,4837,1,0],[1,4837,4965,1,0],[1,4965,5093,1,0],[1,5093,5221,1,0],[1,5221,5349,1,0],[0,5354,5482,1,0],[0,5940,6020,1,0],[0,6020,6100,1,0],[0,6100,6180,1,0],[0,6180,6260,1,0],[1,6250,6378,1,0],[0,6260,6340,1,0],[0,6340,6420,1,0],[0,6420,6500,1,0],[0,6500,6628,1,0],[1,6502,6630,1,0],[0,6628,6756,1,0],[1,6630,6758,1,0],[0,6756,6884,1,0],[1,6758,6886,1,0],[0,6884,7012,1,0],[1,6886,7014,1,0],[0,7012,7140,1,0],[1,7014,7142,1,0],[0,7140,7268,1,0],[0,7268,7396,1,0]],[[0,28,156,1,0],[1,81,209,1,0],[0,156,284,1,0],[1,209,337,1,0],[0,284,412,1,0],[1,337,465,1,0],[0,412,540,1,0],[1,465,593,1,0],[0,540,668,1,0],[1,593,721,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,924,1052,1,0],[1,1052,1180,1,0],[0,1158,1286,1,0],[1,1180,1308,1,0],[0,1286,1414,1,0],[1,1308,1436,1,0],[0,1414,1542,1,0],[1,1436,1564,1,0],[0,1542,1670,1,0],[1,1564,1692,1,0],[0,1670,1798,1,0],[1,1692,1820,1,0],[0,1798,1926,1,0],[0,1926,2054,1,0],[1,2054,2182,1,0],[0,2159,2287,1,0],[1,2182,2310,1,0],[0,2287,2415,1,0],[1,2310,2438,1,0],[0,2415,2543,1,0],[1,2438,2566,1,0],[0,2543,2671,1,0],[1,2566,2694,1,0],[0,2671,2799,1,0],[1,2694,2822,1,0],[0,2799,2927,1,0],[0,2927,3055,1,0],[1,3055,3183,1,0],[0,3055,3183,1,0],[1,3183,3311,1,0],[0,3183,3311,1,0],[1,3311,3439,1,0],[0,3311,3439,1,0],[0,3439,3567,1,0],[1,3564,3692,1,0],[0,3567,3695,1,0],[0,3695,3823,1,0],[0,3823,3951,1,0],[1,3951,4079,1,0],[0,4016,4144,1,0],[1,4079,4207,1,0],[0,4144,4272,1,0],[1,4207,4335,1,0],[0,4272,4400,1,0],[1,4335,4463,1,0],[0,4400,4528,1,0],[1,4463,4591,1,0],[0,4528,4656,1,0],[1,4591,4719,1,0],[0,4656,4784,1,0],[1,4719,4847,1,0],[1,4847,4975,1,0],[1,4975,5103,1,0],[0,5024,5152,1,0],[1,5103,5231,1,0],[0,5152,5280,1,0],[1,5231,5359,1,0],[0,5364,5492,1,0],[1,5492,5620,1,0],[0,5492,5620,1,0],[1,5620,5748,1,0],[0,5620,5748,1,0],[1,5748,5876,1,0],[0,5748,5876,1,0],[1,5876,6004,1,0],[0,5876,6004,1,0],[1,6004,6132,1,0],[1,6132,6260,1,0],[0,6265,6393,1,0],[0,6915,6995,1,0],[0,6995,7075,1,0],[0,7075,7155,1,0],[0,7155,7235,1,0],[0,7235,7315,1,0],[0,7315,7395,1,0],[0,7395,7475,1,0]],[[0,28,156,1,0],[1,81,209,1,0],[0,156,284,1,0],[1,209,337,1,0],[0,284,412,1,0],[1,337,465,1,0],[0,412,540,1,0],[1,465,593,1,0],[0,540,668,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,865,993,1,0],[0,993,1121,1,0],[0,1121,1249,1,0],[1,1218,1346,1,0],[0,1249,1377,1,0],[1,1346,1474,1,0],[0,1377,1505,1,0],[1,1474,1602,1,0],[0,1505,1633,1,0],[1,1602,1730,1,0],[0,1633,1761,1,0],[1,1730,1858,1,0],[0,1761,1889,1,0],[0,1889,2017,1,0],[1,2017,2145,1,0],[0,2061,2189,1,0],[1,2145,2273,1,0],[0,2189,2317,1,0],[1,2307,2435,1,0],[0,2317,2445,1,0],[1,2435,2563,1,0],[0,2445,2573,1,0],[1,2563,2691,1,0],[0,2573,2701,1,0],[1,2691,2819,1,0],[0,2701,2829,1,0],[0,2829,2957,1,0],[1,2957,3085,1,0],[0,2957,3085,1,0],[1,3085,3213,1,0],[0,3085,3213,1,0],[1,3213,3341,1,0],[0,3213,3341,1,0],[0,3341,3469,1,0],[1,3343,3471,1,0],[0,3469,3597,1,0],[1,3471,3599,1,0],[0,3597,3725,1,0],[0,3725,3853,1,0],[1,3853,3981,1,0],[0,3953,4081,1,0],[1,3981,4109,1,0],[0,4081,4209,1,0],[1,4109,4237,1,0],[0,4209,4337,1,0],[1,4237,4365,1,0],[0,4337,4465,1,0],[0,4465,4593,1,0],[1,4583,4711,1,0],[0,4593,4721,1,0],[1,4711,4839,1,0],[1,4839,4967,1,0],[1,4967,5095,1,0],[1,5095,5223,1,0],[1,5223,5351,1,0],[0,5356,5484,1,0],[0,5943,6023,1,0],[0,6023,6103,1,0],[0,6103,6183,1,0],[0,6183,6263,1,0],[1,6252,6380,1,0],[0,6263,6343,1,0],[0,6343,6423,1,0],[0,6423,6503,1,0],[0,6503,6631,1,0],[1,6505,6633,1,0],[0,6631,6759,1,0],[1,6633,6761,1,0],[0,6759,6887,1,0],[1,6761,6889,1,0],[0,6887,7015,1,0],[1,6889,7017,1,0],[0,7015,7143,1,0],[1,7017,7145,1,0],[0,7143,7271,1,0],[0,7271,7399,1,0]],[[0,2,130,1,0],[1,81,209,1,0],[0,130,258,1,0],[1,209,337,1,0],[0,258,386,1,0],[1,337,465,1,0],[0,386,514,1,0],[1,465,593,1,0],[0,514,642,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,899,1027,1,0],[0,1027,1155,1,0],[0,1156,1284,1,0],[1,1178,1306,1,0],[0,1284,1412,1,0],[1,1306,1434,1,0],[0,1412,1540,1,0],[1,1434,1562,1,0],[0,1540,1668,1,0],[1,1562,1690,1,0],[0,1668,1796,1,0],[1,1690,1818,1,0],[1,1818,1946,1,0],[1,1946,2074,1,0],[0,1964,2092,1,0],[0,2092,2220,1,0],[1,2220,2348,1,0],[0,2251,2379,1,0],[1,2348,2476,1,0],[0,2379,2507,1,0],[1,2476,2604,1,0],[0,2507,2635,1,0],[1,2604,2732,1,0],[0,2635,2763,1,0],[1,2732,2860,1,0],[1,2860,2988,1,0],[1,2988,3116,1,0],[0,3006,3134,1,0],[1,3116,3244,1,0],[0,3134,3262,1,0],[0,3262,3390,1,0],[0,3390,3470,1,0],[0,3470,3550,1,0],[0,3550,3630,1,0],[0,3630,3710,1,0],[0,3710,3790,1,0],[0,3790,3870,1,0],[0,3870,3950,1,0],[1,3952,4080,1,0],[0,4087,4215,1,0],[0,4215,4343,1,0],[0,4343,4471,1,0],[1,4367,4495,1,0],[0,4471,4599,1,0],[1,4495,4623,1,0],[0,4599,4727,1,0],[1,4623,4751,1,0],[0,4727,4855,1,0],[1,4751,4879,1,0],[0,4884,5012,1,0],[1,5232,5360,1,0],[1,5360,5488,1,0],[0,5373,5501,1,0],[1,5488,5616,1,0],[0,5501,5629,1,0],[1,5616,5744,1,0],[0,5629,5757,1,0],[1,5744,5872,1,0],[0,5757,5885,1,0],[1,5872,6000,1,0],[0,5885,6013,1,0],[1,6000,6128,1,0],[0,6013,6141,1,0],[0,6141,6269,1,0],[1,6269,6397,1,0],[0,6269,6397,1,0],[1,6397,6525,1,0],[0,6397,6525,1,0],[1,6525,6653,1,0],[0,6525,6653,1,0],[1,6653,6781,1,0],[0,6653,6781,1,0],[1,6781,6909,1,0],[0,6781,6909,1,0],[0,6909,7037,1,0],[0,7037,7165,1,0]],[[0,8,136,1,0],[1,81,209,1,0],[0,136,264,1,0],[1,209,337,1,0],[0,264,392,1,0],[1,337,465,1,0],[0,392,520,1,0],[1,465,593,1,0],[0,520,648,1,0],[1,593,721,1,0],[0,648,776,1,0],[1,721,849,1,0],[0,776,904,1,0],[1,849,977,1,0],[0,904,1032,1,0],[0,1032,1160,1,0],[0,1160,1288,1,0],[0,1288,1416,1,0],[0,1416,1544,1,0],[1,1524,1652,1,0],[1,1652,1780,1,0],[1,1780,1908,1,0],[1,1908,2036,1,0],[1,2036,2164,1,0],[0,2085,2165,1,0],[0,2165,2245,1,0],[0,2245,2325,1,0],[0,2325,2405,1,0],[0,2405,2485,1,0],[0,2485,2565,1,0],[1,3116,3244,1,0],[1,3244,3372,1,0],[1,3372,3500,1,0],[0,3378,3506,1,0],[1,3500,3628,1,0],[0,3506,3634,1,0],[1,3628,3756,1,0],[1,3756,3884,1,0],[1,3884,4012,1,0],[0,3890,4018,1,0],[0,4018,4146,1,0],[1,4077,4205,1,0],[0,4146,4274,1,0],[1,4205,4333,1,0],[0,4274,4402,1,0],[1,4333,4461,1,0],[0,4402,4530,1,0],[1,4461,4589,1,0],[0,4530,4658,1,0],[1,4589,4717,1,0],[0,4658,4786,1,0],[1,4717,4845,1,0],[0,4786,4914,1,0],[0,4914,5042,1,0],[0,5042,5170,1,0],[0,5170,5298,1,0],[1,5293,5421,1,0],[0,5298,5426,1,0],[1,5421,5549,1,0],[0,5426,5554,1,0],[1,5549,5677,1,0],[0,5554,5682,1,0],[1,5677,5805,1,0],[0,5682,5810,1,0],[1,5805,5933,1,0],[0,5810,5938,1,0],[1,5933,6061,1,0],[0,5938,6066,1,0],[1,6061,6189,1,0],[1,6189,6317,1,0],[0,6207,6335,1,0],[1,6321,6449,1,0],[0,6335,6463,1,0],[1,6449,6577,1,0],[0,6463,6591,1,0],[1,6577,6705,1,0],[0,6591,6719,1,0],[1,6705,6833,1,0],[0,6719,6847,1,0],[1,6833,6961,1,0],[1,6961,7089,1,0],[1,7089,7217,1,0]],[[0,3,131,1,0],[1,81,209,1,0],[0,131,259,1,0],[1,209,337,1,0],[0,259,387,1,0],[1,337,465,1,0],[0,387,515,1,0],[1,465,593,1,0],[0,515,643,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,898,1026,1,0],[0,1026,1154,1,0],[0,1154,1282,1,0],[1,1181,1309,1,0],[0,1282,1410,1,0],[1,1309,1437,1,0],[0,1410,1538,1,0],[1,1437,1565,1,0],[0,1538,1666,1,0],[1,1565,1693,1,0],[0,1666,1794,1,0],[1,1693,1821,1,0],[1,1821,1949,1,0],[1,1949,2077,1,0],[0,1965,2093,1,0],[0,2093,2221,1,0],[1,2221,2349,1,0],[0,2253,2381,1,0],[1,2349,2477,1,0],[0,2381,2509,1,0],[1,2477,2605,1,0],[0,2509,2637,1,0],[1,2605,2733,1,0],[0,2637,2765,1,0],[1,2733,2861,1,0],[1,2861,2989,1,0],[1,2989,3117,1,0],[0,3007,3135,1,0],[1,3117,3245,1,0],[0,3135,3263,1,0],[0,3263,3391,1,0],[0,3391,3471,1,0],[0,3471,3551,1,0],[0,3551,3631,1,0],[0,3631,3711,1,0],[0,3711,3791,1,0],[0,3791,3871,1,0],[0,3871,3951,1,0],[1,3953,4081,1,0],[0,4087,4215,1,0],[0,4215,4343,1,0],[0,4343,4471,1,0],[1,4365,4493,1,0],[0,4471,4599,1,0],[1,4493,4621,1,0],[0,4599,4727,1,0],[1,4621,4749,1,0],[0,4727,4855,1,0],[1,4749,4877,1,0],[0,4882,5010,1,0],[1,5232,5360,1,0],[1,5360,5488,1,0],[0,5373,5501,1,0],[1,5488,5616,1,0],[0,5501,5629,1,0],[1,5616,5744,1,0],[0,5629,5757,1,0],[1,5744,5872,1,0],[0,5757,5885,1,0],[1,5872,6000,1,0],[0,5885,6013,1,0],[1,6000,6128,1,0],[0,6013,6141,1,0],[0,6141,6269,1,0],[1,6269,6397,1,0],[0,6271,6399,1,0],[1,6397,6525,1,0],[0,6399,6527,1,0],[1,6525,6653,1,0],[0,6527,6655,1,0],[1,6653,6781,1,0],[0,6655,6783,1,0],[1,6781,6909,1,0],[0,6783,6911,1,0],[0,6911,7039,1,0],[0,7039,7167,1,0]],[[0,7,135,1,0],[1,81,209,1,0],[0,135,263,1,0],[1,209,337,1,0],[0,263,391,1,0],[1,337,465,1,0],[0,391,519,1,0],[1,465,593,1,0],[0,519,647,1,0],[1,593,721,1,0],[0,647,775,1,0],[1,721,849,1,0],[0,775,903,1,0],[1,849,977,1,0],[0,903,1031,1,0],[0,1031,1159,1,0],[0,1159,1287,1,0],[0,1287,1415,1,0],[0,1415,1543,1,0],[1,1527,1655,1,0],[1,1655,1783,1,0],[1,1783,1911,1,0],[1,1911,2039,1,0],[1,2039,2167,1,0],[0,2088,2168,1,0],[0,2168,2248,1,0],[0,2248,2328,1,0],[0,2328,2408,1,0],[0,2408,2488,1,0],[0,2488,2568,1,0],[1,3115,3243,1,0],[1,3243,3371,1,0],[1,3371,3499,1,0],[1,3499,3627,1,0],[0,3504,3632,1,0],[1,3627,3755,1,0],[1,3755,3883,1,0],[1,3883,4011,1,0],[0,3891,4019,1,0],[0,4019,4147,1,0],[1,4076,4204,1,0],[0,4147,4275,1,0],[1,4204,4332,1,0],[0,4275,4403,1,0],[1,4332,4460,1,0],[0,4403,4531,1,0],[1,4460,4588,1,0],[0,4531,4659,1,0],[1,4588,4716,1,0],[0,4659,4787,1,0],[1,4716,4844,1,0],[0,4787,4915,1,0],[0,4915,5043,1,0],[0,5043,5171,1,0],[0,5171,5299,1,0],[0,5299,5427,1,0],[1,5422,5550,1,0],[0,5427,5555,1,0],[1,5550,5678,1,0],[0,5555,5683,1,0],[1,5678,5806,1,0],[0,5683,5811,1,0],[1,5806,5934,1,0],[0,5811,5939,1,0],[1,5934,6062,1,0],[0,5939,6067,1,0],[1,6062,6190,1,0],[0,6067,6195,1,0],[1,6190,6318,1,0],[1,6318,6446,1,0],[0,6336,6464,1,0],[1,6448,6576,1,0],[0,6464,6592,1,0],[1,6576,6704,1,0],[0,6592,6720,1,0],[1,6704,6832,1,0],[0,6720,6848,1,0],[1,6832,6960,1,0],[0,6848,6976,1,0],[1,6960,7088,1,0],[1,7088,7216,1,0],[1,7216,7344,1,0]],[[0,363,443,1,0],[0,443,523,1,0],[0,523,603,1,0],[0,603,683,1,0],[1,821,949,1,0],[0,844,924,1,0],[0,924,1004,1,0],[1,949,1077,1,0],[0,1004,1132,1,0],[1,1077,1205,1,0],[0,1132,1260,1,0],[1,1205,1333,1,0],[0,1260,1388,1,0],[1,1333,1461,1,0],[0,1388,1516,1,0],[1,1461,1589,1,0],[0,1516,1644,1,0],[1,1589,1717,1,0],[0,1644,1772,1,0],[1,1717,1845,1,0],[0,1772,1900,1,0],[1,1845,1973,1,0],[0,1900,2028,1,0],[1,1973,2101,1,0],[0,2028,2156,1,0],[1,2101,2229,1,0],[0,2156,2284,1,0],[1,2229,2357,1,0],[0,2284,2412,1,0],[0,2412,2540,1,0],[0,2932,3060,1,0],[1,2940,3068,1,0],[0,3060,3188,1,0],[0,3268,3396,1,0],[1,3360,3488,1,0],[0,3396,3524,1,0],[1,3488,3616,1,0],[0,3524,3652,1,0],[1,3616,3744,1,0],[0,3652,3780,1,0],[1,3744,3872,1,0],[0,3780,3908,1,0],[1,3872,4000,1,0],[1,4000,4128,1,0],[0,4034,4162,1,0],[0,4162,4290,1,0],[1,4197,4325,1,0],[0,4290,4418,1,0],[1,4325,4453,1,0],[0,4418,4546,1,0],[1,4453,4581,1,0],[0,4546,4674,1,0],[1,4581,4709,1,0],[1,4709,4837,1,0],[1,4837,4965,1,0],[1,4965,5093,1,0],[1,5093,5221,1,0],[0,5313,5441,1,0],[1,5431,5559,1,0],[0,5441,5569,1,0],[1,5559,5687,1,0],[0,5569,5697,1,0],[1,5687,5815,1,0],[0,5697,5825,1,0],[1,5815,5943,1,0],[0,5825,5953,1,0],[1,5943,6071,1,0],[0,5953,6081,1,0],[0,6081,6209,1,0],[1,6204,6332,1,0],[0,6209,6337,1,0],[0,6501,6629,1,0],[1,6627,6755,1,0],[0,6629,6757,1,0],[1,6755,6883,1,0],[0,6757,6885,1,0],[1,6883,7011,1,0],[0,6885,7013,1,0],[1,7011,7139,1,0],[1,7139,7267,1,0],[1,7267,7395,1,0],[1,7395,7523,1,0]],[[0,8,136,1,0],[1,81,129,1,0],[1,129,177,1,0],[0,136,264,1,0],[1,177,225,1,0],[1,225,273,1,0],[0,264,392,1,0],[1,273,321,1,0],[1,321,369,1,0],[1,369,417,1,0],[0,392,520,1,0],[1,417,497,1,0],[1,497,577,1,0],[0,520,648,1,0],[1,577,657,1,0],[0,648,776,1,0],[1,657,737,1,0],[0,776,904,1,0],[1,904,984,1,0],[1,984,1064,1,0],[1,1064,1144,1,0],[0,1120,1248,1,0],[1,1144,1224,1,0],[1,1224,1304,1,0],[0,1248,1376,1,0],[1,1304,1384,1,0],[0,1376,1504,1,0],[1,1384,1464,1,0],[1,1464,1544,1,0],[0,1504,1632,1,0],[1,1591,1671,1,0],[0,1632,1760,1,0],[1,1671,1751,1,0],[1,1751,1831,1,0],[0,1760,1888,1,0],[0,1888,2016,1,0],[1,2016,2096,1,0],[0,2088,2216,1,0],[1,2096,2176,1,0],[1,2176,2256,1,0],[0,2216,2344,1,0],[0,2344,2472,1,0],[0,2472,2600,1,0],[0,2600,2728,1,0],[1,2722,2770,1,0],[0,2728,2856,1,0],[1,2770,2818,1,0],[0,2856,2984,1,0],[1,2984,3032,1,0],[0,2985,3113,1,0],[1,3032,3080,1,0],[1,3080,3128,1,0],[0,3113,3241,1,0],[1,3128,3176,1,0],[0,3241,3369,1,0],[0,3369,3497,1,0],[1,3459,3539,1,0],[0,3497,3625,1,0],[1,3539,3619,1,0],[1,3619,3699,1,0],[0,3625,3753,1,0],[0,3753,3881,1,0],[1,3881,3961,1,0],[1,3961,4041,1,0],[0,3971,4099,1,0],[1,4041,4121,1,0],[0,4099,4227,1,0],[1,4121,4201,1,0],[1,4222,4270,1,0],[0,4227,4355,1,0],[1,4270,4318,1,0],[1,4318,4366,1,0],[0,4355,4483,1,0],[1,4366,4414,1,0],[1,4414,4462,1,0],[1,4462,4510,1,0],[0,4483,4611,1,0],[1,4510,4558,1,0],[1,4558,4638,1,0],[0,4611,4739,1,0],[1,4638,4718,1,0],[0,4739,4867,1,0],[1,4867,4947,1,0],[1,4947,5027,1,0],[1,5027,5107,1,0],[1,5107,5187,1,0],[1,5187,5267,1,0],[1,5267,5315,1,0],[1,5315,5363,1,0],[1,5363,5411,1,0],[1,5411,5459,1,0],[1,5459,5507,1,0],[1,5507,5555,1,0],[1,5555,5603,1,0],[1,5603,5651,1,0],[0,5629,5757,1,0],[1,5651,5699,1,0],[1,5699,5747,1,0],[1,5747,5795,1,0],[0,5757,5885,1,0],[1,5795,5843,1,0],[1,5871,5919,1,0],[0,5885,6013,1,0],[1,5919,5999,1,0],[1,5999,6079,1,0],[0,6013,6141,1,0],[1,6079,6159,1,0],[0,6141,6269,1,0],[1,6159,6239,1,0],[1,6239,6319,1,0],[0,6269,6397,1,0],[0,6397,6525,1,0],[1,6525,6605,1,0],[0,6526,6654,1,0],[1,6605,6685,1,0],[0,6654,6782,1,0],[1,6685,6733,1,0],[1,6733,6781,1,0],[1,6781,6829,1,0],[0,6782,6910,1,0],[1,6829,6877,1,0],[1,6877,6925,1,0],[0,6910,7038,1,0],[1,6925,6973,1,0],[1,6973,7053,1,0],[0,7038,7166,1,0],[1,7053,7133,1,0],[1,7133,7213,1,0],[0,7166,7294,1,0],[0,7294,7422,1,0],[1,7422,7502,1,0],[1,7502,7582,1,0],[0,7553,7585,1,0],[1,7582,7662,1,0],[0,7585,7617,1,0],[0,7617,7649,1,0],[0,7649,7681,1,0],[1,7662,7742,1,0],[0,7815,7847,1,0],[0,7847,7879,1,0],[0,7879,7911,1,0]],[[0,366,446,1,0],[0,446,526,1,0],[0,526,606,1,0],[0,606,686,1,0],[1,822,950,1,0],[0,844,924,1,0],[0,924,1004,1,0],[1,950,1078,1,0],[0,1004,1132,1,0],[1,1078,1206,1,0],[0,1132,1260,1,0],[1,1206,1334,1,0],[0,1260,1388,1,0],[1,1334,1462,1,0],[0,1388,1516,1,0],[1,1462,1590,1,0],[0,1516,1644,1,0],[1,1590,1718,1,0],[0,1644,1772,1,0],[1,1718,1846,1,0],[0,1772,1900,1,0],[1,1846,1974,1,0],[0,1900,2028,1,0],[1,1974,2102,1,0],[0,2028,2156,1,0],[1,2102,2230,1,0],[0,2156,2284,1,0],[1,2230,2358,1,0],[0,2284,2412,1,0],[0,2412,2540,1,0],[0,2934,3062,1,0],[1,2942,3070,1,0],[0,3062,3190,1,0],[0,3266,3394,1,0],[1,3360,3488,1,0],[0,3394,3522,1,0],[1,3488,3616,1,0],[0,3522,3650,1,0],[1,3616,3744,1,0],[0,3650,3778,1,0],[1,3744,3872,1,0],[0,3778,3906,1,0],[1,3872,4000,1,0],[1,4000,4128,1,0],[0,4032,4160,1,0],[0,4160,4288,1,0],[1,4202,4330,1,0],[0,4288,4416,1,0],[1,4330,4458,1,0],[0,4416,4544,1,0],[1,4458,4586,1,0],[0,4544,4672,1,0],[1,4586,4714,1,0],[1,4714,4842,1,0],[1,4842,4970,1,0],[1,4970,5098,1,0],[1,5100,5228,1,0],[0,5314,5442,1,0],[1,5432,5560,1,0],[0,5442,5570,1,0],[1,5560,5688,1,0],[0,5570,5698,1,0],[1,5688,5816,1,0],[0,5698,5826,1,0],[1,5816,5944,1,0],[0,5826,5954,1,0],[1,5944,6072,1,0],[0,5954,6082,1,0],[0,6082,6210,1,0],[1,6205,6333,1,0],[0,6210,6338,1,0],[1,6333,6461,1,0],[0,6547,6675,1,0],[0,6675,6803,1,0],[1,6675,6803,1,0],[0,6803,6931,1,0],[1,6803,6931,1,0],[0,6931,7059,1,0],[1,6931,7059,1,0],[1,7059,7187,1,0],[1,7187,7315,1,0],[1,7315,7443,1,0]],[[0,7,135,1,0],[1,81,129,1,0],[1,129,177,1,0],[0,135,263,1,0],[1,177,225,1,0],[1,225,273,1,0],[0,263,391,1,0],[1,273,321,1,0],[1,321,369,1,0],[1,369,417,1,0],[0,391,519,1,0],[1,417,497,1,0],[1,497,577,1,0],[0,519,647,1,0],[1,577,657,1,0],[0,647,775,1,0],[1,657,737,1,0],[0,775,903,1,0],[1,903,983,1,0],[1,983,1063,1,0],[1,1063,1143,1,0],[0,1120,1248,1,0],[1,1143,1223,1,0],[1,1223,1303,1,0],[0,1248,1376,1,0],[1,1303,1383,1,0],[0,1376,1504,1,0],[1,1383,1463,1,0],[1,1463,1543,1,0],[0,1504,1632,1,0],[1,1590,1670,1,0],[0,1632,1760,1,0],[1,1670,1750,1,0],[1,1750,1830,1,0],[0,1760,1888,1,0],[0,1888,2016,1,0],[1,2016,2096,1,0],[0,2091,2219,1,0],[1,2096,2176,1,0],[1,2176,2256,1,0],[0,2219,2347,1,0],[0,2347,2475,1,0],[0,2475,2603,1,0],[0,2603,2731,1,0],[1,2722,2770,1,0],[0,2731,2859,1,0],[1,2770,2818,1,0],[0,2859,2987,1,0],[1,2987,3035,1,0],[1,3035,3083,1,0],[1,3083,3131,1,0],[1,3131,3179,1,0],[1,3458,3538,1,0],[1,3538,3618,1,0],[1,3618,3698,1,0],[1,3698,3778,1,0],[1,3778,3858,1,0],[1,3858,3938,1,0],[1,3938,4018,1,0],[1,4018,4066,1,0],[0,4030,4158,1,0],[1,4066,4114,1,0],[1,4114,4162,1,0],[0,4158,4286,1,0],[1,4162,4210,1,0],[1,4210,4258,1,0],[1,4258,4306,1,0],[0,4286,4414,1,0],[1,4346,4394,1,0],[1,4394,4474,1,0],[0,4414,4542,1,0],[1,4474,4554,1,0],[0,4542,4670,1,0],[1,4554,4634,1,0],[1,4634,4714,1,0],[0,4670,4798,1,0],[0,4798,4926,1,0],[1,4926,5006,1,0],[0,4932,5060,1,0],[1,5006,5086,1,0],[0,5060,5188,1,0],[1,5086,5166,1,0],[1,5166,5214,1,0],[0,5188,5316,1,0],[1,5214,5262,1,0],[1,5262,5310,1,0],[1,5310,5358,1,0],[0,5316,5444,1,0],[1,5358,5406,1,0],[1,5406,5454,1,0],[0,5444,5572,1,0],[1,5454,5502,1,0],[1,5502,5550,1,0],[1,5550,5598,1,0],[0,5572,5700,1,0],[1,5598,5646,1,0],[1,5646,5694,1,0],[0,5700,5828,1,0],[1,5828,5876,1,0],[0,5829,5957,1,0],[0,5957,6085,1,0],[1,5995,6043,1,0],[1,6043,6123,1,0],[0,6085,6213,1,0],[1,6123,6203,1,0],[1,6203,6283,1,0],[0,6213,6341,1,0],[1,6283,6363,1,0],[0,6341,6469,1,0],[1,6363,6443,1,0],[1,6443,6523,1,0],[0,6469,6597,1,0],[0,6597,6725,1,0],[1,6725,6805,1,0],[0,6726,6854,1,0],[1,6805,6853,1,0],[1,6853,6901,1,0],[0,6854,6982,1,0],[1,6901,6949,1,0],[1,6949,6997,1,0],[0,6982,7110,1,0],[1,6997,7045,1,0],[1,7045,7093,1,0],[1,7093,7173,1,0],[0,7110,7238,1,0],[1,7173,7253,1,0],[0,7238,7366,1,0],[1,7253,7333,1,0],[1,7333,7413,1,0],[0,7366,7494,1,0],[0,7494,7622,1,0],[1,7622,7702,1,0],[1,7702,7782,1,0],[1,7782,7862,1,0],[0,7789,7821,1,0],[0,7821,7853,1,0],[0,7853,7885,1,0],[0,7885,7917,1,0],[0,7917,7949,1,0],[0,8070,8102,1,0],[0,8102,8134,1,0]],[[0,27,155,1,0],[1,81,209,1,0],[0,155,283,1,0],[1,209,337,1,0],[0,283,411,1,0],[1,337,465,1,0],[0,411,539,1,0],[1,465,593,1,0],[0,539,667,1,0],[1,593,721,1,0],[0,667,795,1,0],[0,795,923,1,0],[1,923,1051,1,0],[0,952,1080,1,0],[1,1051,1179,1,0],[1,1179,1307,1,0],[1,1307,1435,1,0],[0,1334,1462,1,0],[1,1435,1563,1,0],[0,1462,1590,1,0],[1,1563,1691,1,0],[0,1590,1718,1,0],[1,1691,1819,1,0],[0,1718,1846,1,0],[1,1819,1947,1,0],[0,1846,1974,1,0],[0,2013,2141,1,0],[1,2051,2179,1,0],[0,2184,2312,1,0],[0,2312,2440,1,0],[1,2314,2442,1,0],[0,2440,2568,1,0],[1,2442,2570,1,0],[0,2568,2696,1,0],[1,2570,2698,1,0],[0,2696,2824,1,0],[1,2698,2826,1,0],[0,2824,2952,1,0],[0,2952,3080,1,0],[1,3080,3208,1,0],[0,3080,3112,1,0],[0,3112,3144,1,0],[0,3144,3176,1,0],[0,3176,3208,1,0],[1,3208,3336,1,0],[0,3208,3240,1,0],[0,3240,3272,1,0],[1,3336,3464,1,0],[1,3464,3592,1,0],[1,3592,3720,1,0],[1,3720,3848,1,0],[1,3848,3976,1,0],[1,3976,4104,1,0],[0,4025,4073,1,0],[0,4109,4141,1,0],[0,4141,4189,1,0],[1,4143,4271,1,0],[0,4189,4237,1,0],[0,4237,4285,1,0],[0,4285,4333,1,0],[0,4333,4381,1,0],[0,4381,4429,1,0],[1,4429,4557,1,0],[0,4429,4557,1,0],[1,4557,4685,1,0],[0,4557,4685,1,0],[1,4685,4813,1,0],[0,4685,4813,1,0],[1,4813,4941,1,0],[0,4813,4941,1,0],[1,4941,5069,1,0],[0,4941,5069,1,0],[1,5069,5197,1,0],[0,5069,5197,1,0],[0,5202,5330,1,0],[0,5330,5458,1,0],[0,5458,5586,1,0],[0,5586,5714,1,0],[0,5714,5842,1,0],[0,5842,5970,1,0],[1,5909,6037,1,0],[1,6037,6165,1,0],[0,6123,6251,1,0],[0,6251,6379,1,0],[1,6379,6507,1,0],[0,6379,6507,1,0],[1,6507,6635,1,0],[0,6507,6635,1,0],[1,6635,6763,1,0],[0,6635,6763,1,0],[1,6763,6891,1,0],[0,6763,6891,1,0],[0,6891,7019,1,0],[0,7019,7147,1,0],[0,7147,7275,1,0]],[[0,27,155,1,0],[1,81,209,1,0],[0,155,283,1,0],[1,209,337,1,0],[0,283,411,1,0],[1,337,465,1,0],[0,411,539,1,0],[1,465,593,1,0],[0,539,667,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,863,991,1,0],[0,991,1119,1,0],[0,1119,1247,1,0],[1,1185,1313,1,0],[0,1247,1375,1,0],[1,1313,1441,1,0],[0,1375,1503,1,0],[1,1441,1569,1,0],[0,1503,1631,1,0],[1,1569,1697,1,0],[0,1631,1759,1,0],[1,1697,1825,1,0],[0,1759,1887,1,0],[0,1887,2015,1,0],[1,2015,2143,1,0],[1,2178,2306,1,0],[1,2306,2434,1,0],[1,2434,2562,1,0],[0,2439,2567,1,0],[1,2562,2690,1,0],[0,2567,2695,1,0],[1,2690,2818,1,0],[0,2695,2823,1,0],[1,2818,2946,1,0],[0,2823,2951,1,0],[1,2946,3074,1,0],[0,2951,3079,1,0],[1,3074,3202,1,0],[0,3079,3207,1,0],[0,3207,3335,1,0],[0,3914,4042,1,0],[1,4094,4222,1,0],[0,4143,4175,1,0],[0,4175,4207,1,0],[0,4207,4239,1,0],[0,4239,4271,1,0],[0,4271,4303,1,0],[0,4303,4335,1,0],[0,4335,4367,1,0],[0,4367,4495,1,0],[1,4367,4495,1,0],[0,4495,4623,1,0],[1,4495,4623,1,0],[0,4623,4751,1,0],[1,4623,4751,1,0],[0,4751,4879,1,0],[1,4751,4879,1,0],[0,4879,5007,1,0],[0,5007,5135,1,0],[1,5135,5263,1,0],[0,5252,5380,1,0],[1,5263,5391,1,0],[0,5380,5508,1,0],[1,5391,5519,1,0],[1,5519,5647,1,0],[0,5519,5567,1,0],[0,5568,5616,1,0],[0,5616,5664,1,0],[1,5647,5775,1,0],[0,5664,5712,1,0],[0,5712,5760,1,0],[0,5760,5808,1,0],[1,5775,5903,1,0],[0,5808,5856,1,0],[0,5856,5984,1,0],[0,5984,6112,1,0],[1,6012,6140,1,0],[0,6112,6240,1,0],[1,6140,6268,1,0],[0,6240,6368,1,0],[0,6368,6496,1,0],[1,6496,6624,1,0],[0,6496,6624,1,0],[1,6624,6752,1,0],[0,6624,6752,1,0],[1,6752,6880,1,0],[0,6752,6880,1,0],[1,6880,7008,1,0],[0,6880,7008,1,0],[1,7008,7136,1,0],[0,7217,7345,1,0],[0,7345,7473,1,0],[0,7473,7601,1,0]],[[0,28,156,1,0],[1,81,209,1,0],[0,156,284,1,0],[1,209,337,1,0],[0,284,412,1,0],[1,337,465,1,0],[0,412,540,1,0],[1,465,593,1,0],[0,540,668,1,0],[1,593,721,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,924,1052,1,0],[0,952,1080,1,0],[1,1052,1180,1,0],[1,1180,1308,1,0],[1,1308,1436,1,0],[0,1334,1462,1,0],[1,1436,1564,1,0],[0,1462,1590,1,0],[1,1564,1692,1,0],[0,1590,1718,1,0],[1,1692,1820,1,0],[0,1718,1846,1,0],[1,1820,1948,1,0],[0,1846,1974,1,0],[0,2015,2143,1,0],[1,2054,2182,1,0],[0,2187,2315,1,0],[0,2315,2443,1,0],[1,2317,2445,1,0],[0,2443,2571,1,0],[1,2445,2573,1,0],[0,2571,2699,1,0],[1,2573,2701,1,0],[0,2699,2827,1,0],[1,2701,2829,1,0],[0,2827,2955,1,0],[0,2955,3083,1,0],[1,3083,3211,1,0],[0,3083,3115,1,0],[0,3115,3147,1,0],[0,3147,3179,1,0],[0,3179,3211,1,0],[1,3211,3339,1,0],[0,3211,3243,1,0],[0,3243,3275,1,0],[1,3339,3467,1,0],[1,3467,3595,1,0],[1,3595,3723,1,0],[1,3723,3851,1,0],[1,3851,3979,1,0],[1,3979,4107,1,0],[0,4025,4073,1,0],[0,4112,4144,1,0],[0,4144,4192,1,0],[1,4146,4274,1,0],[0,4192,4240,1,0],[0,4240,4288,1,0],[0,4288,4336,1,0],[0,4336,4384,1,0],[0,4384,4432,1,0],[1,4432,4560,1,0],[0,4432,4560,1,0],[1,4560,4688,1,0],[0,4560,4688,1,0],[1,4688,4816,1,0],[0,4688,4816,1,0],[1,4816,4944,1,0],[0,4816,4944,1,0],[1,4944,5072,1,0],[0,4944,5072,1,0],[1,5072,5200,1,0],[0,5072,5200,1,0],[0,5205,5333,1,0],[0,5333,5461,1,0],[0,5461,5589,1,0],[0,5589,5717,1,0],[0,5717,5845,1,0],[0,5845,5973,1,0],[1,5910,6038,1,0],[1,6038,6166,1,0],[0,6122,6250,1,0],[0,6250,6378,1,0],[1,6378,6506,1,0],[0,6378,6506,1,0],[1,6506,6634,1,0],[0,6506,6634,1,0],[1,6634,6762,1,0],[0,6634,6762,1,0],[1,6762,6890,1,0],[0,6762,6890,1,0],[0,6890,7018,1,0],[0,7018,7146,1,0],[0,7146,7274,1,0]],[[0,28,156,1,0],[1,81,209,1,0],[0,156,284,1,0],[1,209,337,1,0],[0,284,412,1,0],[1,337,465,1,0],[0,412,540,1,0],[1,465,593,1,0],[0,540,668,1,0],[1,593,721,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,865,993,1,0],[0,993,1121,1,0],[0,1121,1249,1,0],[1,1184,1312,1,0],[0,1249,1377,1,0],[1,1312,1440,1,0],[0,1377,1505,1,0],[1,1440,1568,1,0],[0,1505,1633,1,0],[1,1568,1696,1,0],[0,1633,1761,1,0],[1,1696,1824,1,0],[0,1761,1889,1,0],[0,1889,2017,1,0],[1,2017,2145,1,0],[1,2145,2273,1,0],[0,2201,2329,1,0],[1,2273,2401,1,0],[0,2329,2457,1,0],[1,2401,2529,1,0],[0,2457,2585,1,0],[1,2529,2657,1,0],[1,2657,2785,1,0],[1,2785,2913,1,0],[0,2824,2952,1,0],[1,2913,3041,1,0],[0,2952,3080,1,0],[1,3041,3169,1,0],[0,3080,3208,1,0],[0,3208,3336,1,0],[0,3814,3942,1,0],[1,3996,4124,1,0],[0,4042,4074,1,0],[0,4074,4106,1,0],[0,4106,4138,1,0],[0,4138,4170,1,0],[0,4170,4202,1,0],[0,4202,4234,1,0],[0,4234,4266,1,0],[0,4266,4394,1,0],[1,4266,4394,1,0],[0,4394,4522,1,0],[1,4394,4522,1,0],[0,4522,4650,1,0],[1,4522,4650,1,0],[0,4650,4778,1,0],[1,4650,4778,1,0],[0,4778,4906,1,0],[0,4906,5034,1,0],[1,5034,5162,1,0],[1,5162,5290,1,0],[1,5290,5418,1,0],[1,5418,5546,1,0],[0,5474,5522,1,0],[0,5522,5570,1,0],[1,5546,5674,1,0],[0,5570,5618,1,0],[0,5618,5666,1,0],[0,5666,5714,1,0],[1,5674,5802,1,0],[0,5714,5762,1,0],[0,5762,5810,1,0],[0,5810,5938,1,0],[1,5892,6020,1,0],[0,5938,6066,1,0],[1,6020,6148,1,0],[0,6066,6194,1,0],[1,6148,6276,1,0],[0,6194,6322,1,0],[1,6276,6404,1,0],[0,6322,6450,1,0],[1,6404,6532,1,0],[0,6450,6578,1,0],[0,6578,6706,1,0],[1,6706,6834,1,0],[0,6706,6834,1,0],[0,6834,6962,1,0],[0,7172,7300,1,0],[0,7300,7428,1,0],[0,7428,7556,1,0],[1,7512,7640,1,0],[0,7556,7684,1,0],[0,7684,7812,1,0]],[[0,0,128,1,0],[1,82,210,1,0],[0,128,256,1,0],[1,210,338,1,0],[0,256,384,1,0],[1,338,466,1,0],[0,384,512,1,0],[1,466,594,1,0],[0,512,640,1,0],[1,594,722,1,0],[0,640,768,1,0],[1,722,850,1,0],[0,936,1064,1,0],[0,1064,1192,1,0],[1,1178,1306,1,0],[0,1192,1320,1,0],[1,1306,1434,1,0],[1,1434,1562,1,0],[0,1464,1592,1,0],[1,1562,1690,1,0],[0,1592,1720,1,0],[1,1690,1818,1,0],[0,1720,1848,1,0],[1,1818,1946,1,0],[0,1848,1976,1,0],[1,1946,2074,1,0],[0,1976,2104,1,0],[1,2074,2202,1,0],[0,2104,2232,1,0],[0,2232,2360,1,0],[0,2360,2488,1,0],[1,2373,2501,1,0],[0,2488,2616,1,0],[1,2501,2629,1,0],[0,2616,2664,1,0],[1,2629,2757,1,0],[0,2664,2712,1,0],[0,2712,2760,1,0],[1,2757,2885,1,0],[0,2760,2808,1,0],[1,2885,3013,1,0],[0,2963,3011,1,0],[0,3011,3059,1,0],[1,3013,3141,1,0],[0,3338,3466,1,0],[0,3466,3594,1,0],[0,3594,3722,1,0],[0,3722,3850,1,0],[1,3979,4107,1,0],[0,3986,4114,1,0],[1,4107,4235,1,0],[0,4114,4242,1,0],[1,4235,4363,1,0],[1,4363,4491,1,0],[0,4374,4406,1,0],[0,4406,4438,1,0],[0,4438,4470,1,0],[0,4470,4502,1,0],[1,4491,4619,1,0],[0,4502,4534,1,0],[0,4534,4566,1,0],[1,4619,4747,1,0],[0,5212,5340,1,0],[0,5340,5468,1,0],[0,5468,5596,1,0],[0,5596,5724,1,0],[0,5724,5852,1,0],[0,5852,5980,1,0],[1,5980,6108,1,0],[1,6108,6236,1,0],[1,6236,6364,1,0],[1,6364,6492,1,0],[0,6397,6525,1,0],[1,6492,6620,1,0],[0,6525,6653,1,0],[1,6620,6748,1,0],[0,6653,6781,1,0],[1,6748,6876,1,0],[0,6781,6909,1,0],[0,6909,7037,1,0],[0,7037,7165,1,0],[1,7165,7293,1,0],[1,7293,7421,1,0],[1,7421,7549,1,0],[1,7549,7677,1,0],[1,7677,7805,1,0],[1,7805,7933,1,0],[1,7933,8061,1,0]],[[0,28,156,1,0],[0,156,284,1,0],[0,284,412,1,0],[1,378,506,1,0],[0,412,540,1,0],[1,506,634,1,0],[0,540,668,1,0],[1,634,762,1,0],[0,668,796,1,0],[1,762,890,1,0],[0,796,924,1,0],[0,924,1052,1,0],[1,1037,1165,1,0],[0,1052,1180,1,0],[1,1165,1293,1,0],[0,1180,1308,1,0],[1,1293,1421,1,0],[0,1308,1436,1,0],[0,1436,1564,1,0],[0,1854,1982,1,0],[1,1904,2032,1,0],[0,1982,2110,1,0],[1,2032,2160,1,0],[1,2160,2288,1,0],[1,2288,2416,1,0],[0,2366,2494,1,0],[1,2416,2544,1,0],[0,2494,2622,1,0],[1,2544,2672,1,0],[0,2622,2750,1,0],[0,2750,2878,1,0],[1,2827,2955,1,0],[0,3275,3403,1,0],[1,3337,3465,1,0],[0,3403,3531,1,0],[1,3465,3593,1,0],[0,3531,3659,1,0],[1,3593,3721,1,0],[0,3659,3787,1,0],[1,3721,3849,1,0],[0,3787,3915,1,0],[1,3849,3977,1,0],[0,3915,4043,1,0],[1,3977,4105,1,0],[0,4043,4171,1,0],[0,4308,4436,1,0],[1,4426,4554,1,0],[0,4436,4564,1,0],[1,4554,4682,1,0],[0,4564,4692,1,0],[1,4682,4810,1,0],[0,4692,4820,1,0],[1,4810,4938,1,0],[1,4938,5066,1,0],[1,5066,5194,1,0],[0,5076,5204,1,0],[0,5204,5252,1,0],[1,5225,5353,1,0],[0,5252,5300,1,0],[0,5300,5348,1,0],[0,5348,5396,1,0],[1,5353,5481,1,0],[0,5396,5444,1,0],[0,5444,5492,1,0],[1,5483,5611,1,0],[0,5492,5524,1,0],[0,5524,5556,1,0],[0,5556,5588,1,0],[0,5588,5620,1,0],[1,5611,5739,1,0],[0,5620,5652,1,0],[0,5652,5684,1,0],[0,5684,5812,1,0],[1,5739,5867,1,0],[0,5812,5940,1,0],[1,5867,5995,1,0],[0,5940,6068,1,0],[1,5995,6123,1,0],[0,6068,6196,1,0],[0,6196,6324,1,0],[0,6324,6452,1,0],[1,6505,6633,1,0],[1,6633,6761,1,0],[1,6761,6889,1,0],[1,6889,7017,1,0],[1,7017,7145,1,0],[1,7145,7273,1,0],[1,7277,7405,1,0]],[[0,0,128,1,0],[1,82,210,1,0],[0,128,256,1,0],[1,210,338,1,0],[0,256,384,1,0],[1,338,466,1,0],[0,384,512,1,0],[1,466,594,1,0],[0,512,640,1,0],[1,594,722,1,0],[0,640,768,1,0],[1,722,850,1,0],[0,934,1062,1,0],[0,1062,1190,1,0],[1,1181,1309,1,0],[0,1190,1318,1,0],[1,1309,1437,1,0],[1,1437,1565,1,0],[0,1462,1590,1,0],[1,1565,1693,1,0],[0,1590,1718,1,0],[1,1693,1821,1,0],[0,1718,1846,1,0],[1,1821,1949,1,0],[0,1846,1974,1,0],[1,1949,2077,1,0],[0,1974,2102,1,0],[1,2077,2205,1,0],[0,2102,2230,1,0],[0,2230,2358,1,0],[0,2358,2486,1,0],[1,2377,2505,1,0],[0,2486,2614,1,0],[1,2505,2633,1,0],[0,2614,2662,1,0],[1,2633,2761,1,0],[0,2662,2710,1,0],[0,2711,2759,1,0],[0,2759,2807,1,0],[1,2761,2889,1,0],[1,2889,3017,1,0],[0,2965,3013,1,0],[0,3013,3061,1,0],[1,3017,3145,1,0],[0,3341,3469,1,0],[0,3469,3597,1,0],[0,3857,3985,1,0],[1,3984,4112,1,0],[0,3985,4113,1,0],[1,4112,4240,1,0],[0,4113,4241,1,0],[1,4240,4368,1,0],[0,4241,4369,1,0],[1,4368,4496,1,0],[0,4377,4409,1,0],[0,4409,4441,1,0],[0,4441,4473,1,0],[0,4473,4505,1,0],[1,4496,4624,1,0],[0,4505,4537,1,0],[0,4537,4569,1,0],[1,4624,4752,1,0],[0,5214,5342,1,0],[0,5342,5470,1,0],[0,5470,5598,1,0],[0,5598,5726,1,0],[0,5726,5854,1,0],[0,5854,5982,1,0],[1,5982,6110,1,0],[1,6110,6238,1,0],[1,6238,6366,1,0],[1,6366,6494,1,0],[0,6397,6525,1,0],[1,6494,6622,1,0],[0,6525,6653,1,0],[1,6622,6750,1,0],[0,6653,6781,1,0],[1,6750,6878,1,0],[0,6781,6909,1,0],[0,6909,7037,1,0],[0,7037,7165,1,0],[1,7165,7293,1,0],[1,7293,7421,1,0],[1,7421,7549,1,0],[1,7549,7677,1,0],[1,7677,7805,1,0],[1,7805,7933,1,0],[1,7933,8061,1,0]],[[0,29,157,1,0],[0,157,285,1,0],[0,285,413,1,0],[1,377,505,1,0],[0,413,541,1,0],[1,505,633,1,0],[0,541,669,1,0],[1,633,761,1,0],[0,669,797,1,0],[1,761,889,1,0],[0,797,925,1,0],[0,925,1053,1,0],[1,1037,1165,1,0],[0,1053,1181,1,0],[1,1165,1293,1,0],[0,1181,1309,1,0],[1,1293,1421,1,0],[0,1309,1437,1,0],[0,1437,1565,1,0],[0,1852,1980,1,0],[1,1901,2029,1,0],[0,1980,2108,1,0],[1,2029,2157,1,0],[0,2108,2236,1,0],[1,2157,2285,1,0],[0,2236,2364,1,0],[1,2285,2413,1,0],[1,2413,2541,1,0],[0,2522,2650,1,0],[1,2541,2669,1,0],[0,2650,2778,1,0],[1,2830,2958,1,0],[0,3024,3152,1,0],[0,3279,3407,1,0],[1,3340,3468,1,0],[0,3407,3535,1,0],[1,3468,3596,1,0],[0,3535,3663,1,0],[1,3596,3724,1,0],[0,3663,3791,1,0],[1,3724,3852,1,0],[0,3791,3919,1,0],[1,3852,3980,1,0],[0,3919,4047,1,0],[1,3980,4108,1,0],[0,4047,4175,1,0],[0,4310,4438,1,0],[1,4428,4556,1,0],[0,4438,4566,1,0],[1,4556,4684,1,0],[0,4566,4694,1,0],[1,4684,4812,1,0],[0,4694,4822,1,0],[1,4812,4940,1,0],[1,4940,5068,1,0],[1,5068,5196,1,0],[0,5134,5182,1,0],[0,5182,5230,1,0],[1,5196,5324,1,0],[0,5230,5278,1,0],[0,5278,5326,1,0],[1,5325,5453,1,0],[0,5326,5374,1,0],[0,5374,5422,1,0],[0,5424,5456,1,0],[1,5453,5581,1,0],[1,5581,5709,1,0],[0,5592,5624,1,0],[0,5624,5656,1,0],[0,5656,5688,1,0],[0,5688,5720,1,0],[1,5709,5837,1,0],[0,5720,5752,1,0],[0,5752,5880,1,0],[1,5837,5965,1,0],[0,5880,6008,1,0],[1,5965,6093,1,0],[0,6008,6136,1,0],[0,6136,6264,1,0],[0,6264,6392,1,0],[1,6437,6565,1,0],[1,6565,6693,1,0],[0,6646,6774,1,0],[1,6693,6821,1,0],[1,6821,6949,1,0],[1,6949,7077,1,0],[1,7077,7205,1,0],[1,7209,7337,1,0]],[[0,27,155,1,0],[1,81,177,1,0],[0,155,283,1,0],[1,177,273,1,0],[1,273,369,1,0],[0,283,411,1,0],[1,369,465,1,0],[0,411,539,1,0],[1,465,561,1,0],[0,539,667,1,0],[1,561,657,1,0],[1,657,753,1,0],[0,667,795,1,0],[0,795,923,1,0],[1,923,955,1,0],[1,955,987,1,0],[1,987,1019,1,0],[1,1019,1051,1,0],[1,1051,1083,1,0],[1,1083,1115,1,0],[0,1108,1236,1,0],[1,1115,1211,1,0],[1,1211,1307,1,0],[0,1236,1364,1,0],[1,1307,1403,1,0],[0,1364,1492,1,0],[1,1403,1499,1,0],[0,1492,1620,1,0],[1,1499,1595,1,0],[1,1595,1691,1,0],[0,1620,1748,1,0],[0,1748,1876,1,0],[0,1876,2004,1,0],[1,2004,2100,1,0],[0,2005,2133,1,0],[1,2100,2196,1,0],[0,2133,2261,1,0],[1,2196,2292,1,0],[0,2261,2389,1,0],[1,2292,2388,1,0],[1,2388,2484,1,0],[0,2389,2517,1,0],[1,2484,2580,1,0],[0,2517,2645,1,0],[1,2580,2676,1,0],[0,2645,2773,1,0],[0,2773,2901,1,0],[1,2901,2997,1,0],[1,2997,3093,1,0],[1,3093,3189,1,0],[1,3189,3285,1,0],[1,3285,3381,1,0],[1,3381,3477,1,0],[0,3426,3554,1,0],[1,3477,3509,1,0],[1,3509,3541,1,0],[1,3541,3573,1,0],[0,3554,3682,1,0],[1,3573,3605,1,0],[1,3605,3637,1,0],[1,3637,3669,1,0],[0,3682,3810,1,0],[0,3810,3938,1,0],[0,3938,4066,1,0],[1,3961,3993,1,0],[1,3993,4025,1,0],[1,4025,4057,1,0],[1,4057,4089,1,0],[0,4066,4194,1,0],[1,4089,4121,1,0],[1,4121,4153,1,0],[1,4153,4185,1,0],[0,4194,4322,1,0],[1,4322,4354,1,0],[0,4323,4451,1,0],[1,4354,4386,1,0],[1,4387,4419,1,0],[1,4419,4451,1,0],[1,4451,4483,1,0],[0,4452,4580,1,0],[1,4483,4515,1,0],[1,4515,4547,1,0],[1,4547,4643,1,0],[0,4580,4708,1,0],[1,4643,4739,1,0],[1,4739,4835,1,0],[1,4835,4931,1,0],[0,4880,5008,1,0],[1,4931,5027,1,0],[0,5008,5136,1,0],[1,5027,5123,1,0],[1,5123,5219,1,0],[0,5136,5264,1,0],[0,5264,5392,1,0],[0,5392,5520,1,0],[1,5418,5450,1,0],[1,5450,5482,1,0],[1,5482,5514,1,0],[1,5514,5546,1,0],[0,5520,5648,1,0],[1,5546,5578,1,0],[1,5578,5610,1,0],[1,5610,5706,1,0],[0,5648,5776,1,0],[1,5706,5802,1,0],[0,5776,5904,1,0],[1,5802,5898,1,0],[1,5898,5994,1,0],[0,5904,6032,1,0],[1,5994,6090,1,0],[0,6032,6160,1,0],[0,6160,6288,1,0],[1,6288,6384,1,0],[1,6397,6429,1,0],[1,6429,6461,1,0],[1,6461,6493,1,0],[1,6493,6525,1,0],[1,6525,6557,1,0],[1,6557,6589,1,0],[1,6589,6621,1,0],[1,6697,6729,1,0],[1,6729,6761,1,0],[1,6761,6793,1,0],[1,6793,6825,1,0],[1,6825,6857,1,0],[1,7003,7035,1,0],[0,7105,7217,1,0],[0,7217,7329,1,0],[0,7329,7441,1,0],[0,7441,7553,1,0],[0,7553,7665,1,0],[1,7567,7599,1,0],[0,7665,7777,1,0],[0,7777,7889,1,0]],[[0,8,136,1,0],[1,81,209,1,0],[0,136,264,1,0],[1,209,337,1,0],[0,264,392,1,0],[1,337,465,1,0],[0,392,520,1,0],[1,465,593,1,0],[0,520,648,1,0],[1,593,721,1,0],[0,648,776,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[1,1112,1240,1,0],[0,1238,1366,1,0],[1,1240,1368,1,0],[0,1366,1494,1,0],[1,1368,1496,1,0],[0,1494,1622,1,0],[1,1496,1624,1,0],[0,1622,1750,1,0],[1,1624,1752,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2006,2134,1,0],[1,2134,2262,1,0],[0,2134,2262,1,0],[0,2262,2390,1,0],[0,2390,2518,1,0],[0,2518,2646,1,0],[1,2570,2698,1,0],[0,2646,2774,1,0],[0,2774,2902,1,0],[1,2902,3030,1,0],[0,2902,3030,1,0],[1,3030,3158,1,0],[0,3030,3158,1,0],[1,3158,3286,1,0],[0,3158,3286,1,0],[1,3286,3414,1,0],[0,3286,3414,1,0],[1,3414,3542,1,0],[0,3414,3542,1,0],[0,3542,3670,1,0],[0,3670,3798,1,0],[1,3798,3926,1,0],[1,3926,4054,1,0],[1,4054,4182,1,0],[1,4182,4310,1,0],[1,4310,4438,1,0],[1,4438,4566,1,0],[0,4488,4584,1,0],[1,4566,4694,1,0],[0,4584,4680,1,0],[0,4680,4776,1,0],[1,4694,4822,1,0],[0,4776,4872,1,0],[1,4822,4950,1,0],[0,4872,4968,1,0],[0,4968,5064,1,0],[0,5064,5160,1,0],[1,5160,5288,1,0],[0,5160,5272,1,0],[0,5272,5384,1,0],[1,5288,5416,1,0],[0,5384,5496,1,0],[1,5416,5544,1,0],[0,5496,5608,1,0],[0,5608,5720,1,0],[0,5720,5832,1,0],[0,5832,5944,1,0],[0,6135,6263,1,0],[0,6263,6391,1,0],[0,6391,6519,1,0],[1,6431,6559,1,0],[0,6519,6647,1,0],[1,6559,6687,1,0],[0,6647,6775,1,0],[1,6687,6815,1,0],[0,6775,6903,1,0],[0,6903,7031,1,0],[1,7031,7159,1,0],[1,7159,7287,1,0],[1,7287,7415,1,0],[1,7415,7543,1,0]],[[0,28,156,1,0],[1,81,177,1,0],[0,156,284,1,0],[1,177,273,1,0],[1,273,369,1,0],[0,284,412,1,0],[1,369,465,1,0],[0,412,540,1,0],[1,465,561,1,0],[0,540,668,1,0],[1,561,657,1,0],[1,657,753,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,924,956,1,0],[1,956,988,1,0],[1,988,1020,1,0],[1,1020,1052,1,0],[1,1052,1084,1,0],[1,1084,1116,1,0],[0,1108,1236,1,0],[1,1116,1212,1,0],[1,1212,1308,1,0],[0,1236,1364,1,0],[1,1308,1404,1,0],[0,1364,1492,1,0],[1,1404,1500,1,0],[0,1492,1620,1,0],[1,1500,1596,1,0],[1,1596,1692,1,0],[0,1620,1748,1,0],[0,1748,1876,1,0],[0,1876,2004,1,0],[1,2004,2100,1,0],[0,2007,2135,1,0],[1,2100,2196,1,0],[0,2135,2263,1,0],[1,2196,2292,1,0],[0,2263,2391,1,0],[1,2292,2388,1,0],[1,2388,2484,1,0],[0,2391,2519,1,0],[1,2484,2580,1,0],[0,2519,2647,1,0],[1,2580,2676,1,0],[0,2647,2775,1,0],[0,2775,2903,1,0],[1,2903,2999,1,0],[1,2999,3095,1,0],[1,3095,3191,1,0],[1,3191,3287,1,0],[1,3287,3383,1,0],[1,3383,3479,1,0],[0,3426,3554,1,0],[1,3479,3511,1,0],[1,3511,3543,1,0],[1,3543,3575,1,0],[0,3554,3682,1,0],[1,3575,3607,1,0],[1,3607,3639,1,0],[1,3639,3671,1,0],[0,3682,3810,1,0],[0,3810,3938,1,0],[0,3938,4066,1,0],[1,3962,3994,1,0],[1,3994,4026,1,0],[1,4026,4058,1,0],[1,4058,4090,1,0],[0,4066,4194,1,0],[1,4090,4122,1,0],[1,4122,4154,1,0],[1,4154,4186,1,0],[0,4194,4322,1,0],[1,4322,4354,1,0],[0,4323,4451,1,0],[1,4354,4386,1,0],[1,4386,4418,1,0],[1,4418,4450,1,0],[1,4450,4482,1,0],[0,4451,4579,1,0],[1,4482,4514,1,0],[1,4514,4546,1,0],[1,4546,4642,1,0],[0,4579,4707,1,0],[1,4642,4738,1,0],[0,4707,4835,1,0],[1,4738,4834,1,0],[1,4834,4930,1,0],[0,4835,4963,1,0],[1,4930,5026,1,0],[0,4963,5091,1,0],[1,5026,5122,1,0],[1,5122,5218,1,0],[0,5322,5450,1,0],[1,5450,5482,1,0],[0,5451,5579,1,0],[1,5482,5514,1,0],[1,5514,5546,1,0],[1,5546,5578,1,0],[1,5578,5610,1,0],[0,5579,5707,1,0],[1,5610,5642,1,0],[1,5642,5738,1,0],[0,5707,5835,1,0],[1,5738,5834,1,0],[1,5834,5930,1,0],[0,5835,5963,1,0],[1,5930,6026,1,0],[0,5963,6091,1,0],[1,6026,6122,1,0],[0,6091,6219,1,0],[0,6219,6347,1,0],[1,6347,6443,1,0],[1,6443,6475,1,0],[1,6475,6507,1,0],[1,6507,6539,1,0],[1,6539,6571,1,0],[1,6571,6603,1,0],[1,6603,6635,1,0],[1,7036,7068,1,0],[1,7070,7102,1,0],[1,7102,7134,1,0],[1,7134,7166,1,0],[1,7166,7198,1,0],[1,7198,7230,1,0],[0,7211,7323,1,0],[1,7230,7262,1,0],[0,7323,7435,1,0],[0,7435,7547,1,0],[0,7547,7659,1,0],[1,7568,7600,1,0],[0,7659,7771,1,0],[0,7771,7883,1,0],[0,7883,7995,1,0]],[[0,7,135,1,0],[1,81,209,1,0],[0,135,263,1,0],[1,209,337,1,0],[0,263,391,1,0],[1,337,465,1,0],[0,391,519,1,0],[1,465,593,1,0],[0,519,647,1,0],[1,593,721,1,0],[0,647,775,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[1,1112,1240,1,0],[0,1238,1366,1,0],[1,1240,1368,1,0],[0,1366,1494,1,0],[1,1368,1496,1,0],[0,1494,1622,1,0],[1,1496,1624,1,0],[0,1622,1750,1,0],[1,1624,1752,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2006,2134,1,0],[1,2134,2262,1,0],[0,2134,2262,1,0],[0,2262,2390,1,0],[0,2390,2518,1,0],[0,2518,2646,1,0],[1,2572,2700,1,0],[0,2646,2774,1,0],[0,2774,2902,1,0],[1,2902,3030,1,0],[0,2902,3030,1,0],[1,3030,3158,1,0],[0,3030,3158,1,0],[1,3158,3286,1,0],[0,3158,3286,1,0],[1,3286,3414,1,0],[0,3286,3414,1,0],[1,3414,3542,1,0],[0,3414,3542,1,0],[0,3542,3670,1,0],[0,3670,3798,1,0],[1,3798,3926,1,0],[1,3926,4054,1,0],[1,4054,4182,1,0],[1,4182,4310,1,0],[1,4310,4438,1,0],[1,4438,4566,1,0],[0,4491,4587,1,0],[1,4566,4694,1,0],[0,4587,4683,1,0],[0,4683,4779,1,0],[1,4694,4822,1,0],[0,4779,4875,1,0],[1,4822,4950,1,0],[0,4875,4971,1,0],[0,4971,5067,1,0],[0,5067,5163,1,0],[1,5163,5291,1,0],[1,5291,5419,1,0],[0,5406,5518,1,0],[1,5419,5547,1,0],[0,5518,5630,1,0],[0,5630,5742,1,0],[0,5742,5854,1,0],[0,5854,5966,1,0],[0,5966,6078,1,0],[0,6078,6190,1,0],[0,6190,6318,1,0],[1,6430,6558,1,0],[0,6467,6595,1,0],[1,6558,6686,1,0],[0,6595,6723,1,0],[1,6686,6814,1,0],[0,6723,6851,1,0],[1,6814,6942,1,0],[0,6851,6979,1,0],[1,6942,7070,1,0],[0,6979,7107,1,0],[0,7107,7235,1,0],[1,7235,7363,1,0],[1,7363,7491,1,0]],[[0,32,160,1,0],[1,82,210,1,0],[0,160,288,1,0],[1,210,338,1,0],[0,288,416,1,0],[1,338,466,1,0],[0,416,544,1,0],[1,466,594,1,0],[0,544,672,1,0],[1,594,722,1,0],[0,672,800,1,0],[1,722,850,1,0],[0,800,928,1,0],[0,928,1056,1,0],[1,982,1110,1,0],[0,1056,1184,1,0],[1,1110,1238,1,0],[0,1184,1312,1,0],[1,1238,1366,1,0],[0,1312,1440,1,0],[1,1366,1494,1,0],[0,1440,1568,1,0],[1,1494,1622,1,0],[1,1622,1750,1,0],[0,1630,1742,1,0],[0,1742,1854,1,0],[1,1750,1878,1,0],[0,1854,1966,1,0],[1,1878,2006,1,0],[0,1966,2078,1,0],[1,2006,2134,1,0],[0,2078,2190,1,0],[1,2134,2262,1,0],[0,2190,2302,1,0],[1,2262,2390,1,0],[0,2302,2430,1,0],[1,2390,2518,1,0],[0,2430,2558,1,0],[1,2518,2646,1,0],[0,2558,2686,1,0],[1,2646,2774,1,0],[0,2686,2814,1,0],[1,2774,2902,1,0],[0,2814,2942,1,0],[0,2942,3070,1,0],[0,3216,3344,1,0],[1,3266,3394,1,0],[0,3344,3472,1,0],[1,3394,3522,1,0],[0,3472,3600,1,0],[1,3522,3650,1,0],[0,3600,3728,1,0],[1,3650,3778,1,0],[0,3728,3856,1,0],[1,3778,3906,1,0],[0,3856,3984,1,0],[1,3906,4034,1,0],[0,3984,4112,1,0],[0,4112,4240,1,0],[0,4240,4368,1,0],[0,4368,4496,1,0],[0,4496,4624,1,0],[0,4624,4752,1,0],[1,4696,4824,1,0],[1,4824,4952,1,0],[1,4952,5080,1,0],[1,5080,5208,1,0],[1,5208,5336,1,0],[1,5336,5464,1,0],[0,5714,5810,1,0],[1,5808,5936,1,0],[0,5810,5906,1,0],[0,5906,6002,1,0],[1,5936,6064,1,0],[0,6002,6098,1,0],[1,6064,6192,1,0],[0,6098,6194,1,0],[1,6192,6320,1,0],[0,6194,6290,1,0],[1,6320,6448,1,0],[1,6448,6576,1,0],[1,6576,6704,1,0]],[[0,8,136,1,0],[1,81,209,1,0],[0,136,264,1,0],[1,209,337,1,0],[0,264,392,1,0],[1,337,465,1,0],[0,392,520,1,0],[1,465,593,1,0],[0,520,648,1,0],[1,593,721,1,0],[0,648,776,1,0],[1,721,849,1,0],[0,809,937,1,0],[1,858,986,1,0],[0,937,1065,1,0],[1,986,1114,1,0],[0,1065,1193,1,0],[1,1114,1242,1,0],[0,1193,1321,1,0],[1,1242,1370,1,0],[0,1321,1449,1,0],[1,1370,1498,1,0],[0,1449,1577,1,0],[1,1498,1626,1,0],[0,1862,1958,1,0],[0,1958,2054,1,0],[1,2008,2136,1,0],[0,2054,2150,1,0],[1,2136,2264,1,0],[0,2150,2246,1,0],[0,2246,2342,1,0],[1,2264,2392,1,0],[0,2342,2438,1,0],[1,2392,2520,1,0],[0,2438,2566,1,0],[1,2520,2648,1,0],[0,2566,2694,1,0],[1,2648,2776,1,0],[0,2694,2822,1,0],[1,2776,2904,1,0],[0,2822,2950,1,0],[1,2904,3032,1,0],[0,2950,3078,1,0],[1,3032,3160,1,0],[0,3078,3206,1,0],[1,3160,3288,1,0],[0,3206,3334,1,0],[1,3288,3416,1,0],[0,3334,3462,1,0],[1,3416,3544,1,0],[0,3462,3590,1,0],[1,3544,3672,1,0],[0,3590,3718,1,0],[1,3672,3800,1,0],[0,3718,3846,1,0],[1,3800,3928,1,0],[0,3846,3974,1,0],[1,3928,4056,1,0],[0,4004,4132,1,0],[1,4056,4184,1,0],[0,4132,4260,1,0],[1,4184,4312,1,0],[1,4312,4440,1,0],[0,4413,4541,1,0],[1,4440,4568,1,0],[0,4541,4669,1,0],[1,4568,4696,1,0],[0,4669,4797,1,0],[1,4696,4824,1,0],[0,4797,4925,1,0],[1,4824,4952,1,0],[1,4952,5080,1,0],[1,5080,5208,1,0],[1,5208,5336,1,0],[1,5336,5464,1,0],[1,5464,5592,1,0],[0,6345,6457,1,0],[0,6457,6569,1,0],[0,6715,6827,1,0],[0,6827,6939,1,0],[0,6939,7051,1,0],[0,7051,7163,1,0]],[[0,32,160,1,0],[1,81,209,1,0],[0,160,288,1,0],[1,209,337,1,0],[0,288,416,1,0],[1,337,465,1,0],[0,416,544,1,0],[1,465,593,1,0],[0,544,672,1,0],[1,593,721,1,0],[0,672,800,1,0],[1,721,849,1,0],[0,800,928,1,0],[0,928,1056,1,0],[1,984,1112,1,0],[0,1056,1184,1,0],[1,1112,1240,1,0],[0,1184,1312,1,0],[1,1240,1368,1,0],[0,1312,1440,1,0],[1,1368,1496,1,0],[0,1440,1568,1,0],[1,1496,1624,1,0],[1,1624,1752,1,0],[0,1630,1742,1,0],[0,1742,1854,1,0],[1,1752,1880,1,0],[0,1854,1966,1,0],[1,1880,2008,1,0],[0,1966,2078,1,0],[1,2008,2136,1,0],[0,2078,2190,1,0],[1,2136,2264,1,0],[0,2190,2302,1,0],[1,2264,2392,1,0],[0,2302,2430,1,0],[1,2392,2520,1,0],[0,2430,2558,1,0],[1,2520,2648,1,0],[0,2558,2686,1,0],[1,2648,2776,1,0],[0,2686,2814,1,0],[1,2776,2904,1,0],[0,2814,2942,1,0],[0,2942,3070,1,0],[0,3219,3347,1,0],[1,3268,3396,1,0],[0,3347,3475,1,0],[1,3396,3524,1,0],[0,3475,3603,1,0],[1,3524,3652,1,0],[0,3603,3731,1,0],[1,3652,3780,1,0],[0,3731,3859,1,0],[1,3780,3908,1,0],[0,3859,3987,1,0],[1,3908,4036,1,0],[0,3987,4115,1,0],[0,4115,4243,1,0],[0,4243,4371,1,0],[0,4371,4499,1,0],[0,4499,4627,1,0],[0,4627,4755,1,0],[1,4697,4825,1,0],[1,4825,4953,1,0],[1,4953,5081,1,0],[1,5081,5209,1,0],[1,5209,5337,1,0],[1,5337,5465,1,0],[0,5715,5811,1,0],[1,5809,5937,1,0],[0,5811,5907,1,0],[0,5907,6003,1,0],[1,5937,6065,1,0],[0,6003,6099,1,0],[1,6065,6193,1,0],[0,6099,6195,1,0],[1,6193,6321,1,0],[0,6195,6291,1,0],[1,6321,6449,1,0],[1,6449,6577,1,0],[1,6577,6705,1,0]],[[0,7,135,1,0],[1,81,209,1,0],[0,135,263,1,0],[1,209,337,1,0],[0,263,391,1,0],[1,337,465,1,0],[0,391,519,1,0],[1,465,593,1,0],[0,519,647,1,0],[1,593,721,1,0],[0,647,775,1,0],[1,721,849,1,0],[0,808,936,1,0],[1,856,984,1,0],[0,936,1064,1,0],[1,984,1112,1,0],[0,1064,1192,1,0],[1,1112,1240,1,0],[0,1192,1320,1,0],[1,1240,1368,1,0],[0,1320,1448,1,0],[1,1368,1496,1,0],[0,1448,1576,1,0],[1,1496,1624,1,0],[0,1632,1728,1,0],[0,1867,1963,1,0],[0,1963,2059,1,0],[1,2008,2136,1,0],[0,2059,2155,1,0],[1,2136,2264,1,0],[0,2155,2251,1,0],[0,2251,2347,1,0],[1,2264,2392,1,0],[0,2347,2475,1,0],[1,2392,2520,1,0],[0,2475,2603,1,0],[1,2520,2648,1,0],[0,2603,2731,1,0],[1,2648,2776,1,0],[0,2731,2859,1,0],[1,2776,2904,1,0],[0,2859,2987,1,0],[0,2987,3115,1,0],[1,3115,3243,1,0],[1,3243,3371,1,0],[1,3371,3499,1,0],[1,3499,3627,1,0],[0,3504,3632,1,0],[1,3627,3755,1,0],[0,3632,3760,1,0],[1,3755,3883,1,0],[0,3760,3888,1,0],[1,3883,4011,1,0],[0,3888,4016,1,0],[0,4016,4144,1,0],[0,4144,4272,1,0],[1,4272,4400,1,0],[1,4400,4528,1,0],[1,4528,4656,1,0],[1,4656,4784,1,0],[1,4784,4912,1,0],[1,4912,5040,1,0],[1,5040,5168,1,0],[1,5168,5296,1,0],[0,5173,5301,1,0],[1,5296,5424,1,0],[0,5301,5429,1,0],[1,5424,5552,1,0],[0,5429,5557,1,0],[1,5552,5680,1,0],[0,5557,5685,1,0],[1,5680,5808,1,0],[0,5685,5813,1,0],[1,5808,5936,1,0],[0,5813,5941,1,0],[1,6032,6160,1,0],[0,6335,6447,1,0],[0,6447,6559,1,0],[0,6559,6671,1,0],[0,6671,6783,1,0],[0,6783,6895,1,0],[0,6895,7007,1,0]],[[0,27,43,1,0],[0,43,59,1,0],[0,59,75,1,0],[0,75,91,1,0],[1,81,209,1,0],[0,91,107,1,0],[0,107,123,1,0],[0,123,139,1,0],[0,139,267,1,0],[1,209,337,1,0],[0,267,395,1,0],[1,337,465,1,0],[0,395,523,1,0],[1,465,593,1,0],[0,523,651,1,0],[1,593,721,1,0],[0,651,779,1,0],[1,721,849,1,0],[0,779,907,1,0],[0,907,1035,1,0],[1,1035,1163,1,0],[0,1035,1163,1,0],[1,1163,1291,1,0],[0,1163,1291,1,0],[1,1291,1419,1,0],[0,1291,1419,1,0],[1,1419,1547,1,0],[0,1419,1547,1,0],[1,1547,1675,1,0],[1,1675,1803,1,0],[0,1774,1902,1,0],[1,1803,1931,1,0],[0,1902,2030,1,0],[0,2030,2158,1,0],[1,2158,2286,1,0],[0,2158,2214,1,0],[0,2214,2270,1,0],[0,2270,2326,1,0],[1,2286,2414,1,0],[0,2326,2382,1,0],[0,2382,2438,1,0],[1,2414,2542,1,0],[0,2438,2494,1,0],[1,2542,2670,1,0],[1,2670,2798,1,0],[0,2803,2859,1,0],[1,2859,2987,1,0],[0,2860,2988,1,0],[1,2987,3115,1,0],[0,2988,3116,1,0],[1,3115,3243,1,0],[0,3116,3244,1,0],[1,3243,3371,1,0],[0,3244,3372,1,0],[1,3371,3499,1,0],[0,3372,3500,1,0],[1,3499,3627,1,0],[0,3500,3628,1,0],[1,3627,3755,1,0],[0,3760,3888,1,0],[0,3888,4016,1,0],[0,4016,4144,1,0],[0,4144,4272,1,0],[1,4231,4359,1,0],[0,4272,4400,1,0],[1,4359,4487,1,0],[1,4487,4615,1,0],[1,4615,4743,1,0],[0,4658,4786,1,0],[1,4743,4871,1,0],[0,4786,4914,1,0],[0,4914,5042,1,0],[1,5042,5170,1,0],[0,5157,5285,1,0],[1,5170,5298,1,0],[0,5285,5413,1,0],[0,5413,5541,1,0],[0,5541,5669,1,0],[0,5669,5797,1,0],[0,5797,5925,1,0],[0,5925,6053,1,0],[0,6053,6181,1,0],[0,6181,6309,1,0],[1,6220,6348,1,0],[0,6309,6437,1,0],[1,6348,6476,1,0],[0,6437,6565,1,0],[1,6476,6604,1,0],[0,6565,6693,1,0],[1,6604,6732,1,0],[0,6693,6821,1,0],[1,6732,6860,1,0],[0,6821,6949,1,0],[1,6860,6988,1,0],[0,6949,7077,1,0],[1,6988,7116,1,0],[0,7121,7249,1,0],[0,7249,7377,1,0],[1,7249,7377,1,0],[0,7377,7505,1,0],[1,7377,7505,1,0],[0,7505,7633,1,0],[1,7505,7633,1,0],[0,7633,7761,1,0],[0,7761,7889,1,0],[1,7889,8017,1,0],[1,8017,8145,1,0],[1,8145,8273,1,0],[1,8273,8401,1,0]],[[0,3,131,1,0],[1,81,97,1,0],[1,97,113,1,0],[1,113,129,1,0],[1,129,145,1,0],[0,131,259,1,0],[1,145,161,1,0],[1,161,177,1,0],[1,177,193,1,0],[0,259,387,1,0],[0,387,515,1,0],[0,515,643,1,0],[0,643,771,1,0],[0,771,899,1,0],[1,899,1011,1,0],[0,900,1028,1,0],[1,1011,1123,1,0],[0,1028,1156,1,0],[1,1123,1235,1,0],[0,1156,1284,1,0],[1,1235,1347,1,0],[0,1284,1412,1,0],[1,1347,1459,1,0],[0,1412,1540,1,0],[1,1459,1571,1,0],[0,1540,1668,1,0],[1,1571,1683,1,0],[0,1688,1816,1,0],[1,1816,1928,1,0],[0,1873,2001,1,0],[1,1928,2040,1,0],[0,2001,2129,1,0],[1,2040,2152,1,0],[0,2129,2257,1,0],[1,2152,2264,1,0],[0,2257,2385,1,0],[1,2264,2376,1,0],[1,2376,2488,1,0],[0,2385,2513,1,0],[1,2488,2600,1,0],[0,2513,2641,1,0],[0,2641,2769,1,0],[1,2796,2908,1,0],[0,2889,3017,1,0],[1,2908,3020,1,0],[0,3017,3145,1,0],[1,3020,3132,1,0],[1,3132,3244,1,0],[0,3145,3273,1,0],[1,3244,3356,1,0],[0,3273,3401,1,0],[0,3401,3529,1,0],[1,3470,3582,1,0],[0,3529,3657,1,0],[0,3657,3785,1,0],[1,3785,3897,1,0],[1,3897,4009,1,0],[1,4009,4121,1,0],[0,4100,4228,1,0],[1,4121,4233,1,0],[0,4228,4356,1,0],[1,4233,4345,1,0],[1,4345,4457,1,0],[0,4356,4484,1,0],[1,4457,4473,1,0],[1,4473,4489,1,0],[0,4484,4612,1,0],[1,4489,4505,1,0],[0,4612,4740,1,0],[1,4732,4748,1,0],[0,4740,4868,1,0],[1,4748,4764,1,0],[1,4764,4780,1,0],[1,4780,4796,1,0],[1,4796,4812,1,0],[1,4812,4828,1,0],[1,4828,4844,1,0],[1,4844,4860,1,0],[0,4868,4996,1,0],[1,4996,5012,1,0],[0,4999,5127,1,0],[1,5012,5028,1,0],[0,5127,5255,1,0],[0,5255,5383,1,0],[0,5383,5511,1,0],[1,5458,5570,1,0],[0,5511,5639,1,0],[1,5570,5682,1,0],[0,5639,5767,1,0],[1,5682,5794,1,0],[1,5794,5906,1,0],[1,5906,6018,1,0],[1,6018,6130,1,0],[1,6130,6242,1,0],[0,6247,6375,1,0],[1,6375,6487,1,0],[0,6376,6504,1,0],[1,6487,6599,1,0],[0,6504,6632,1,0],[1,6599,6711,1,0],[0,6632,6760,1,0],[1,6711,6823,1,0],[0,6760,6888,1,0],[1,6823,6935,1,0],[0,6888,7016,1,0],[1,6935,7047,1,0],[1,7047,7159,1,0],[1,7159,7271,1,0],[0,7265,7393,1,0],[1,7271,7383,1,0],[0,7393,7521,1,0],[1,7521,7633,1,0],[1,7633,7745,1,0],[0,7730,7786,1,0],[1,7745,7857,1,0],[0,7786,7842,1,0],[0,7842,7898,1,0],[1,7857,7969,1,0],[0,7898,7954,1,0],[0,7954,8010,1,0],[1,7969,7985,1,0],[1,7985,8001,1,0],[1,8001,8017,1,0],[0,8010,8066,1,0],[1,8017,8033,1,0],[1,8033,8049,1,0],[0,8066,8122,1,0],[1,8122,8138,1,0],[1,8138,8154,1,0],[1,8154,8170,1,0],[1,8170,8186,1,0],[1,8186,8202,1,0],[1,8202,8218,1,0],[1,8218,8234,1,0],[1,8234,8250,1,0],[1,8250,8266,1,0],[1,8266,8282,1,0],[1,8282,8298,1,0],[1,8298,8314,1,0],[1,8314,8330,1,0],[1,8330,8346,1,0]],[[0,28,44,1,0],[0,44,60,1,0],[0,60,76,1,0],[0,76,92,1,0],[1,81,209,1,0],[0,92,108,1,0],[0,108,124,1,0],[0,124,140,1,0],[1,209,337,1,0],[1,337,465,1,0],[1,465,593,1,0],[1,593,721,1,0],[0,610,738,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,908,1036,1,0],[1,977,1105,1,0],[0,1036,1164,1,0],[1,1105,1233,1,0],[0,1164,1292,1,0],[1,1233,1361,1,0],[0,1292,1420,1,0],[1,1361,1489,1,0],[0,1420,1548,1,0],[0,1548,1676,1,0],[1,1676,1804,1,0],[0,1776,1904,1,0],[1,1804,1932,1,0],[0,1904,2032,1,0],[1,1932,2060,1,0],[0,2032,2160,1,0],[1,2060,2188,1,0],[0,2160,2288,1,0],[1,2188,2316,1,0],[0,2288,2416,1,0],[1,2316,2444,1,0],[0,2416,2544,1,0],[0,2544,2672,1,0],[1,2672,2800,1,0],[0,2672,2728,1,0],[0,2728,2784,1,0],[0,2784,2840,1,0],[1,2800,2928,1,0],[0,2840,2896,1,0],[0,2896,2952,1,0],[0,2952,3008,1,0],[0,3008,3064,1,0],[1,3064,3192,1,0],[0,3064,3192,1,0],[1,3192,3320,1,0],[0,3192,3320,1,0],[1,3320,3448,1,0],[0,3320,3448,1,0],[1,3448,3576,1,0],[0,3448,3576,1,0],[1,3576,3704,1,0],[0,3576,3704,1,0],[1,3704,3832,1,0],[0,3704,3832,1,0],[0,3837,3965,1,0],[0,4145,4273,1,0],[1,4232,4360,1,0],[0,4273,4401,1,0],[1,4360,4488,1,0],[0,4401,4529,1,0],[1,4488,4616,1,0],[0,4529,4657,1,0],[1,4616,4744,1,0],[1,4744,4872,1,0],[1,4872,5000,1,0],[0,4911,5039,1,0],[1,5000,5128,1,0],[0,5039,5167,1,0],[0,5167,5295,1,0],[0,5295,5423,1,0],[0,5423,5551,1,0],[0,5551,5679,1,0],[0,5679,5807,1,0],[0,5807,5935,1,0],[0,5935,6063,1,0],[0,6063,6191,1,0],[0,6191,6319,1,0],[1,6243,6371,1,0],[0,6319,6447,1,0],[1,6371,6499,1,0],[0,6447,6575,1,0],[1,6499,6627,1,0],[0,6575,6703,1,0],[1,6627,6755,1,0],[0,6703,6831,1,0],[1,6755,6883,1,0],[0,6831,6959,1,0],[1,6883,7011,1,0],[0,6959,7087,1,0],[1,7011,7139,1,0],[0,7144,7272,1,0],[0,7272,7400,1,0],[1,7272,7400,1,0],[0,7400,7528,1,0],[1,7400,7528,1,0],[0,7528,7656,1,0],[1,7528,7656,1,0],[0,7656,7784,1,0],[1,7656,7784,1,0],[0,7784,7912,1,0],[0,7912,8040,1,0],[1,8040,8168,1,0],[1,8168,8296,1,0],[1,8296,8424,1,0]],[[0,2,130,1,0],[1,81,97,1,0],[1,97,113,1,0],[1,113,129,1,0],[1,129,145,1,0],[0,130,258,1,0],[1,145,161,1,0],[1,161,177,1,0],[1,177,193,1,0],[0,258,386,1,0],[0,386,514,1,0],[0,514,642,1,0],[0,642,770,1,0],[0,770,898,1,0],[1,898,1010,1,0],[1,1010,1122,1,0],[1,1122,1234,1,0],[1,1234,1346,1,0],[1,1346,1458,1,0],[1,1458,1570,1,0],[1,1570,1682,1,0],[1,1682,1794,1,0],[0,1700,1828,1,0],[1,1794,1906,1,0],[0,1828,1956,1,0],[1,1906,2018,1,0],[0,1956,2084,1,0],[1,2018,2130,1,0],[0,2084,2212,1,0],[1,2130,2242,1,0],[0,2212,2340,1,0],[1,2242,2354,1,0],[0,2340,2468,1,0],[0,2468,2596,1,0],[0,2596,2724,1,0],[1,2598,2710,1,0],[1,2710,2822,1,0],[0,2724,2852,1,0],[1,2822,2934,1,0],[0,2852,2980,1,0],[1,2934,3046,1,0],[0,2980,3108,1,0],[1,3046,3158,1,0],[0,3108,3236,1,0],[1,3158,3270,1,0],[0,3236,3364,1,0],[0,3364,3492,1,0],[0,3492,3620,1,0],[1,3494,3606,1,0],[1,3606,3718,1,0],[0,3620,3748,1,0],[1,3718,3830,1,0],[0,3748,3876,1,0],[1,3830,3942,1,0],[0,3876,4004,1,0],[1,3942,4054,1,0],[0,4004,4132,1,0],[1,4054,4166,1,0],[0,4132,4260,1,0],[0,4260,4388,1,0],[1,4388,4500,1,0],[0,4713,4841,1,0],[0,4841,4969,1,0],[0,4969,5097,1,0],[1,4982,4998,1,0],[1,4998,5014,1,0],[1,5014,5030,1,0],[1,5030,5046,1,0],[1,5046,5062,1,0],[1,5062,5078,1,0],[1,5078,5094,1,0],[1,5094,5110,1,0],[0,5097,5225,1,0],[1,5110,5126,1,0],[1,5126,5142,1,0],[1,5142,5158,1,0],[1,5158,5174,1,0],[1,5174,5190,1,0],[0,5225,5353,1,0],[0,5353,5481,1,0],[0,5481,5609,1,0],[1,5609,5721,1,0],[0,5610,5738,1,0],[1,5721,5833,1,0],[0,5738,5866,1,0],[1,5833,5945,1,0],[0,5866,5994,1,0],[1,5945,6057,1,0],[0,5994,6122,1,0],[1,6057,6169,1,0],[0,6122,6250,1,0],[1,6169,6281,1,0],[0,6250,6378,1,0],[1,6281,6393,1,0],[0,6398,6526,1,0],[1,6526,6638,1,0],[0,6527,6655,1,0],[1,6638,6750,1,0],[0,6655,6783,1,0],[1,6750,6862,1,0],[0,6783,6911,1,0],[1,6862,6974,1,0],[0,6911,7039,1,0],[1,6974,7086,1,0],[1,7086,7198,1,0],[1,7198,7310,1,0],[0,7266,7394,1,0],[1,7310,7422,1,0],[0,7394,7522,1,0],[0,7522,7650,1,0],[1,7650,7762,1,0],[0,7727,7783,1,0],[1,7762,7874,1,0],[0,7783,7839,1,0],[0,7839,7895,1,0],[1,7874,7986,1,0],[0,7895,7951,1,0],[0,7951,8007,1,0],[1,7986,8098,1,0],[0,8007,8063,1,0],[1,8098,8210,1,0],[1,8210,8226,1,0],[1,8226,8242,1,0],[1,8242,8258,1,0],[1,8258,8274,1,0],[1,8274,8290,1,0],[1,8290,8306,1,0],[1,8306,8322,1,0],[1,8322,8338,1,0],[0,8346,8402,1,0],[1,8402,8418,1,0],[1,8418,8434,1,0],[1,8434,8450,1,0],[1,8450,8466,1,0],[1,8466,8482,1,0],[1,8482,8498,1,0],[1,8498,8514,1,0],[1,8514,8530,1,0],[1,8530,8546,1,0],[1,8546,8562,1,0],[1,8562,8578,1,0]],[[0,2,130,1,0],[1,81,209,1,0],[0,130,258,1,0],[1,209,337,1,0],[0,258,386,1,0],[1,337,465,1,0],[0,386,514,1,0],[1,465,593,1,0],[0,514,642,1,0],[1,593,721,1,0],[0,642,770,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[0,1238,1366,1,0],[0,1366,1494,1,0],[0,1494,1622,1,0],[0,1622,1750,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2017,2145,1,0],[1,2134,2262,1,0],[0,2145,2273,1,0],[1,2262,2390,1,0],[0,2273,2401,1,0],[1,2390,2518,1,0],[0,2401,2529,1,0],[1,2518,2646,1,0],[0,2529,2657,1,0],[1,2646,2774,1,0],[0,2657,2785,1,0],[1,2774,2902,1,0],[0,2907,3035,1,0],[0,3035,3163,1,0],[0,3163,3291,1,0],[0,3291,3419,1,0],[1,3324,3452,1,0],[0,3419,3547,1,0],[1,3452,3580,1,0],[0,3547,3675,1,0],[1,3580,3708,1,0],[0,3675,3803,1,0],[1,3708,3836,1,0],[0,3803,3931,1,0],[1,3836,3964,1,0],[1,3964,4092,1,0],[1,4092,4220,1,0],[1,4220,4348,1,0],[0,4337,4353,1,0],[1,4348,4476,1,0],[0,4353,4369,1,0],[0,4369,4385,1,0],[0,4385,4401,1,0],[0,4401,4417,1,0],[0,4417,4433,1,0],[0,4433,4449,1,0],[1,4476,4604,1,0],[1,4604,4732,1,0],[1,4732,4860,1,0],[0,4796,4924,1,0],[0,4924,5052,1,0],[1,4976,5104,1,0],[0,5097,5153,1,0],[1,5104,5232,1,0],[0,5153,5209,1,0],[0,5209,5265,1,0],[1,5232,5360,1,0],[0,5265,5321,1,0],[0,5321,5377,1,0],[0,5377,5433,1,0],[0,5433,5489,1,0],[0,5489,5617,1,0],[1,5489,5617,1,0],[0,5617,5745,1,0],[1,5617,5745,1,0],[0,5745,5873,1,0],[1,5745,5873,1,0],[0,5873,6001,1,0],[0,6001,6129,1,0],[0,6129,6257,1,0],[0,6257,6385,1,0],[1,6267,6395,1,0],[0,6385,6513,1,0],[0,6513,6641,1,0],[0,6641,6769,1,0],[1,6756,6884,1,0],[0,6769,6897,1,0],[1,6884,7012,1,0],[1,7012,7140,1,0],[1,7140,7268,1,0],[1,7268,7396,1,0],[1,7396,7524,1,0],[0,7529,7657,1,0]],[[0,28,156,1,0],[1,81,209,1,0],[0,156,284,1,0],[1,209,337,1,0],[0,284,412,1,0],[1,337,465,1,0],[0,412,540,1,0],[1,465,593,1,0],[0,540,668,1,0],[1,593,721,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,924,1052,1,0],[1,1052,1180,1,0],[0,1120,1248,1,0],[1,1180,1308,1,0],[0,1248,1376,1,0],[1,1308,1436,1,0],[1,1436,1564,1,0],[1,1564,1692,1,0],[0,1586,1714,1,0],[1,1692,1820,1,0],[0,1714,1842,1,0],[0,1842,1970,1,0],[1,1880,2008,1,0],[0,1970,2098,1,0],[1,2008,2136,1,0],[0,2098,2226,1,0],[1,2136,2264,1,0],[0,2226,2354,1,0],[1,2264,2392,1,0],[0,2354,2482,1,0],[1,2392,2520,1,0],[0,2482,2610,1,0],[1,2520,2648,1,0],[0,2610,2738,1,0],[1,2648,2776,1,0],[0,2738,2866,1,0],[0,2866,2994,1,0],[0,2994,3122,1,0],[1,3095,3223,1,0],[1,3223,3351,1,0],[0,3246,3374,1,0],[1,3351,3479,1,0],[0,3374,3502,1,0],[1,3479,3607,1,0],[0,3502,3630,1,0],[1,3607,3735,1,0],[0,3630,3758,1,0],[1,3735,3863,1,0],[0,3758,3886,1,0],[1,3863,3991,1,0],[0,3886,4014,1,0],[0,4014,4142,1,0],[0,4142,4270,1,0],[0,4270,4398,1,0],[0,4398,4526,1,0],[0,4526,4654,1,0],[0,4654,4782,1,0],[0,4782,4910,1,0],[1,4850,4978,1,0],[0,4910,5038,1,0],[1,4978,5106,1,0],[1,5106,5234,1,0],[1,5234,5362,1,0],[1,5362,5490,1,0],[1,5490,5618,1,0],[0,6155,6211,1,0],[0,6211,6339,1,0],[0,6364,6420,1,0],[0,6420,6476,1,0],[0,6476,6532,1,0],[1,6486,6614,1,0],[0,6532,6588,1,0],[0,6588,6644,1,0],[0,6644,6700,1,0],[0,6700,6828,1,0],[1,6700,6828,1,0],[0,6828,6956,1,0],[1,6828,6956,1,0],[0,6956,7084,1,0],[1,6956,7084,1,0],[0,7084,7212,1,0],[1,7084,7212,1,0],[0,7212,7340,1,0],[1,7212,7340,1,0],[0,7340,7468,1,0],[1,7340,7468,1,0],[0,7557,7573,1,0],[0,7573,7589,1,0],[0,7589,7605,1,0],[0,7605,7621,1,0],[0,7621,7637,1,0],[0,7637,7653,1,0],[0,7653,7669,1,0]],[[0,2,130,1,0],[1,81,209,1,0],[0,130,258,1,0],[1,209,337,1,0],[0,258,386,1,0],[1,337,465,1,0],[0,386,514,1,0],[1,465,593,1,0],[0,514,642,1,0],[1,593,721,1,0],[0,642,770,1,0],[1,721,849,1,0],[1,849,977,1,0],[0,982,1110,1,0],[0,1110,1238,1,0],[0,1238,1366,1,0],[0,1366,1494,1,0],[0,1494,1622,1,0],[0,1622,1750,1,0],[0,1750,1878,1,0],[0,1878,2006,1,0],[1,2006,2134,1,0],[0,2013,2141,1,0],[1,2134,2262,1,0],[0,2141,2269,1,0],[1,2262,2390,1,0],[0,2269,2397,1,0],[1,2390,2518,1,0],[0,2397,2525,1,0],[1,2518,2646,1,0],[0,2525,2653,1,0],[1,2646,2774,1,0],[0,2653,2781,1,0],[1,2774,2902,1,0],[0,2907,3035,1,0],[0,3035,3163,1,0],[0,3163,3291,1,0],[0,3291,3419,1,0],[1,3320,3448,1,0],[0,3419,3547,1,0],[1,3448,3576,1,0],[0,3547,3675,1,0],[1,3576,3704,1,0],[0,3675,3803,1,0],[1,3704,3832,1,0],[0,3803,3931,1,0],[1,3832,3960,1,0],[1,3960,4088,1,0],[1,4088,4216,1,0],[1,4216,4344,1,0],[0,4336,4352,1,0],[1,4344,4472,1,0],[0,4352,4368,1,0],[0,4368,4384,1,0],[0,4384,4400,1,0],[0,4400,4416,1,0],[0,4416,4432,1,0],[0,4432,4448,1,0],[1,4472,4600,1,0],[1,4600,4728,1,0],[1,4728,4856,1,0],[0,4791,4919,1,0],[0,4919,5047,1,0],[1,4972,5100,1,0],[0,5097,5153,1,0],[1,5100,5228,1,0],[0,5153,5209,1,0],[0,5209,5265,1,0],[1,5228,5356,1,0],[0,5265,5321,1,0],[0,5321,5377,1,0],[0,5377,5433,1,0],[0,5433,5489,1,0],[0,5489,5617,1,0],[1,5489,5617,1,0],[0,5617,5745,1,0],[1,5617,5745,1,0],[0,5745,5873,1,0],[1,5745,5873,1,0],[0,5873,6001,1,0],[0,6001,6129,1,0],[0,6129,6257,1,0],[0,6257,6385,1,0],[1,6266,6394,1,0],[0,6385,6513,1,0],[0,6513,6641,1,0],[0,6641,6769,1,0],[1,6755,6883,1,0],[0,6769,6897,1,0],[1,6883,7011,1,0],[1,7011,7139,1,0],[1,7139,7267,1,0],[1,7267,7395,1,0],[1,7395,7523,1,0],[0,7528,7656,1,0]],[[0,27,155,1,0],[1,81,209,1,0],[0,155,283,1,0],[1,209,337,1,0],[0,283,411,1,0],[1,337,465,1,0],[0,411,539,1,0],[1,465,593,1,0],[0,539,667,1,0],[1,593,721,1,0],[0,667,795,1,0],[0,795,923,1,0],[1,923,1051,1,0],[0,1120,1248,1,0],[1,1172,1300,1,0],[0,1248,1376,1,0],[1,1300,1428,1,0],[1,1428,1556,1,0],[1,1556,1684,1,0],[0,1583,1711,1,0],[1,1684,1812,1,0],[0,1711,1839,1,0],[1,1812,1940,1,0],[0,1839,1967,1,0],[0,1967,2095,1,0],[0,2095,2223,1,0],[1,2389,2517,1,0],[0,2513,2641,1,0],[1,2517,2645,1,0],[0,2641,2769,1,0],[1,2645,2773,1,0],[0,2769,2897,1,0],[1,2773,2901,1,0],[0,2897,3025,1,0],[1,2901,3029,1,0],[0,3025,3153,1,0],[1,3029,3157,1,0],[0,3153,3281,1,0],[1,3157,3285,1,0],[0,3281,3409,1,0],[1,3480,3608,1,0],[1,3608,3736,1,0],[0,3731,3859,1,0],[1,3736,3864,1,0],[0,3859,3987,1,0],[1,3864,3992,1,0],[0,3987,4115,1,0],[1,3992,4120,1,0],[0,4115,4243,1,0],[1,4120,4248,1,0],[0,4243,4371,1,0],[1,4248,4376,1,0],[0,4371,4499,1,0],[0,4499,4627,1,0],[0,4627,4755,1,0],[0,4755,4883,1,0],[0,4883,5011,1,0],[1,4991,5119,1,0],[0,5011,5139,1,0],[1,5119,5247,1,0],[0,5139,5267,1,0],[1,5247,5375,1,0],[0,5267,5395,1,0],[1,5375,5503,1,0],[0,5395,5523,1,0],[1,5503,5631,1,0],[1,5631,5759,1,0],[0,6533,6589,1,0],[1,6624,6752,1,0],[1,6752,6880,1,0],[0,6758,6814,1,0],[0,6814,6870,1,0],[0,6870,6926,1,0],[1,6880,7008,1,0],[0,6926,6982,1,0],[0,6982,7038,1,0],[0,7038,7094,1,0],[1,7094,7222,1,0],[0,7117,7245,1,0],[1,7222,7350,1,0],[0,7245,7373,1,0],[1,7350,7478,1,0],[0,7373,7501,1,0],[0,7501,7629,1,0],[1,7525,7653,1,0],[0,7629,7757,1,0],[0,7757,7885,1,0],[0,7885,8013,1,0],[0,8013,8029,1,0],[0,8029,8045,1,0],[0,8045,8061,1,0],[0,8061,8077,1,0],[0,8077,8093,1,0],[0,8093,8109,1,0],[0,8109,8125,1,0]],[[0,6,134,1,0],[1,81,209,1,0],[0,134,262,1,0],[1,209,337,1,0],[0,262,390,1,0],[1,337,465,1,0],[0,390,518,1,0],[1,465,593,1,0],[0,518,646,1,0],[1,593,721,1,0],[0,646,774,1,0],[1,721,849,1,0],[0,991,1119,1,0],[0,1119,1247,1,0],[0,1247,1375,1,0],[0,1375,1503,1,0],[0,1503,1631,1,0],[0,1631,1759,1,0],[1,1759,1887,1,0],[1,1887,2015,1,0],[1,2015,2143,1,0],[1,2143,2271,1,0],[0,2148,2204,1,0],[0,2204,2260,1,0],[0,2260,2316,1,0],[1,2271,2399,1,0],[0,2316,2372,1,0],[0,2372,2428,1,0],[1,2399,2527,1,0],[0,2428,2484,1,0],[0,2484,2612,1,0],[1,2527,2655,1,0],[0,2612,2740,1,0],[1,2655,2783,1,0],[0,2740,2868,1,0],[1,2783,2911,1,0],[0,2868,2996,1,0],[1,2911,3039,1,0],[0,2996,3124,1,0],[1,3039,3167,1,0],[0,3124,3252,1,0],[1,3167,3295,1,0],[1,3295,3423,1,0],[0,3419,3547,1,0],[0,3547,3675,1,0],[1,3612,3740,1,0],[0,3675,3803,1,0],[0,3803,3931,1,0],[1,3845,3973,1,0],[0,3931,4059,1,0],[1,3973,4101,1,0],[0,4059,4187,1,0],[1,4101,4229,1,0],[0,4187,4315,1,0],[1,4229,4357,1,0],[0,4315,4443,1,0],[1,4357,4485,1,0],[0,4443,4571,1,0],[1,4485,4613,1,0],[0,4571,4699,1,0],[0,4699,4827,1,0],[0,4827,4955,1,0],[0,4956,5084,1,0],[1,5084,5212,1,0],[0,5085,5213,1,0],[1,5212,5340,1,0],[0,5213,5341,1,0],[1,5340,5468,1,0],[0,5341,5469,1,0],[1,5468,5596,1,0],[0,5469,5597,1,0],[1,5596,5724,1,0],[0,5597,5725,1,0],[1,5724,5852,1,0],[1,5852,5980,1,0],[1,7503,7631,1,0],[1,7631,7759,1,0],[1,7759,7887,1,0],[1,7887,8015,1,0],[1,8015,8143,1,0],[1,8143,8271,1,0],[1,8271,8399,1,0],[0,8482,8498,1,0],[0,8498,8514,1,0],[0,8514,8530,1,0],[0,8530,8546,1,0],[0,8546,8562,1,0],[0,8562,8578,1,0]],[[0,30,158,1,0],[0,158,286,1,0],[0,286,414,1,0],[0,414,542,1,0],[0,542,670,1,0],[1,670,798,1,0],[0,861,989,1,0],[1,989,1117,1,0],[1,1117,1245,1,0],[1,1245,1373,1,0],[0,1250,1378,1,0],[1,1373,1501,1,0],[0,1378,1506,1,0],[1,1501,1629,1,0],[0,1506,1634,1,0],[1,1629,1757,1,0],[0,1634,1762,1,0],[1,1757,1885,1,0],[0,1762,1890,1,0],[1,1885,2013,1,0],[0,1890,2018,1,0],[1,2013,2141,1,0],[1,2141,2269,1,0],[0,2247,2375,1,0],[1,2269,2397,1,0],[0,2375,2503,1,0],[1,2397,2525,1,0],[0,2503,2631,1,0],[1,2546,2674,1,0],[0,2631,2759,1,0],[1,2674,2802,1,0],[0,2759,2887,1,0],[1,2802,2930,1,0],[0,2887,3015,1,0],[1,2930,3058,1,0],[0,3015,3143,1,0],[1,3058,3186,1,0],[0,3143,3271,1,0],[1,3186,3314,1,0],[0,3271,3399,1,0],[0,3399,3527,1,0],[1,3429,3557,1,0],[0,3527,3655,1,0],[0,3655,3783,1,0],[1,3744,3872,1,0],[0,3783,3911,1,0],[1,3872,4000,1,0],[0,3911,4039,1,0],[1,4000,4128,1,0],[0,4039,4167,1,0],[1,4128,4256,1,0],[0,4167,4295,1,0],[1,4256,4384,1,0],[0,4295,4423,1,0],[0,4423,4551,1,0],[1,4645,4773,1,0],[1,4773,4901,1,0],[1,4901,5029,1,0],[0,5021,5037,1,0],[1,5029,5157,1,0],[0,5037,5053,1,0],[0,5053,5069,1,0],[0,5069,5085,1,0],[0,5085,5101,1,0],[0,5101,5117,1,0],[1,5157,5285,1,0],[1,5285,5413,1,0],[0,5355,5483,1,0],[1,5413,5541,1,0],[0,5483,5611,1,0],[1,5541,5669,1,0],[0,5611,5739,1,0],[0,5739,5867,1,0],[0,5867,5995,1,0],[1,5987,6115,1,0],[0,5995,6123,1,0],[1,6115,6243,1,0],[1,6243,6371,1,0],[1,6371,6499,1,0],[1,6499,6627,1,0],[1,6627,6755,1,0],[0,6665,6721,1,0],[0,6721,6777,1,0],[0,6777,6833,1,0],[0,6833,6889,1,0],[0,6889,6945,1,0],[0,7079,7135,1,0],[1,7138,7266,1,0]],[[0,5,133,1,0],[1,81,209,1,0],[0,133,261,1,0],[1,209,337,1,0],[0,261,389,1,0],[1,337,465,1,0],[0,389,517,1,0],[1,465,593,1,0],[0,517,645,1,0],[1,593,721,1,0],[0,645,773,1,0],[1,721,849,1,0],[0,989,1117,1,0],[0,1117,1245,1,0],[0,1245,1373,1,0],[0,1373,1501,1,0],[0,1501,1629,1,0],[0,1629,1757,1,0],[1,1757,1885,1,0],[1,1885,2013,1,0],[1,2013,2141,1,0],[1,2141,2269,1,0],[0,2146,2202,1,0],[0,2202,2258,1,0],[0,2258,2314,1,0],[1,2269,2397,1,0],[0,2314,2370,1,0],[0,2370,2426,1,0],[1,2397,2525,1,0],[0,2426,2482,1,0],[0,2482,2610,1,0],[1,2525,2653,1,0],[0,2610,2738,1,0],[1,2653,2781,1,0],[0,2738,2866,1,0],[1,2781,2909,1,0],[0,2866,2994,1,0],[1,2909,3037,1,0],[0,2994,3122,1,0],[1,3037,3165,1,0],[0,3122,3250,1,0],[1,3165,3293,1,0],[1,3293,3421,1,0],[0,3417,3545,1,0],[0,3545,3673,1,0],[1,3609,3737,1,0],[0,3673,3801,1,0],[0,3801,3929,1,0],[1,3841,3969,1,0],[0,3929,4057,1,0],[1,3969,4097,1,0],[0,4057,4185,1,0],[1,4097,4225,1,0],[0,4185,4313,1,0],[1,4225,4353,1,0],[0,4313,4441,1,0],[1,4353,4481,1,0],[0,4441,4569,1,0],[1,4481,4609,1,0],[0,4569,4697,1,0],[0,4697,4825,1,0],[0,4825,4953,1,0],[0,4954,5082,1,0],[1,5083,5211,1,0],[0,5084,5212,1,0],[1,5211,5339,1,0],[0,5212,5340,1,0],[1,5339,5467,1,0],[0,5340,5468,1,0],[1,5467,5595,1,0],[0,5468,5596,1,0],[1,5595,5723,1,0],[0,5596,5724,1,0],[1,5723,5851,1,0],[1,5851,5979,1,0],[1,7500,7628,1,0],[1,7628,7756,1,0],[1,7756,7884,1,0],[1,7884,8012,1,0],[1,8012,8140,1,0],[1,8140,8268,1,0],[1,8268,8396,1,0],[0,8480,8496,1,0],[0,8496,8512,1,0],[0,8512,8528,1,0],[0,8528,8544,1,0],[0,8544,8560,1,0],[0,8560,8576,1,0]],[[0,29,157,1,0],[0,157,285,1,0],[0,285,413,1,0],[0,413,541,1,0],[0,541,669,1,0],[1,669,797,1,0],[0,859,987,1,0],[1,987,1115,1,0],[1,1115,1243,1,0],[1,1243,1371,1,0],[0,1248,1376,1,0],[1,1371,1499,1,0],[0,1376,1504,1,0],[1,1499,1627,1,0],[0,1504,1632,1,0],[1,1627,1755,1,0],[0,1632,1760,1,0],[1,1755,1883,1,0],[0,1760,1888,1,0],[1,1883,2011,1,0],[0,1888,2016,1,0],[1,2011,2139,1,0],[1,2139,2267,1,0],[0,2244,2372,1,0],[1,2267,2395,1,0],[0,2372,2500,1,0],[1,2395,2523,1,0],[0,2500,2628,1,0],[1,2543,2671,1,0],[0,2628,2756,1,0],[1,2671,2799,1,0],[0,2756,2884,1,0],[1,2799,2927,1,0],[0,2884,3012,1,0],[1,2927,3055,1,0],[0,3012,3140,1,0],[1,3055,3183,1,0],[0,3140,3268,1,0],[1,3183,3311,1,0],[0,3268,3396,1,0],[0,3396,3524,1,0],[0,3524,3652,1,0],[1,3553,3681,1,0],[0,3652,3780,1,0],[1,3681,3809,1,0],[0,3780,3908,1,0],[1,3809,3937,1,0],[0,3908,4036,1,0],[1,3937,4065,1,0],[0,4036,4164,1,0],[1,4065,4193,1,0],[0,4164,4292,1,0],[1,4193,4321,1,0],[0,4292,4420,1,0],[1,4321,4449,1,0],[0,4420,4548,1,0],[1,4449,4577,1,0],[0,4548,4564,1,0],[0,4564,4580,1,0],[1,4577,4705,1,0],[0,4580,4596,1,0],[0,4596,4612,1,0],[0,4612,4628,1,0],[0,4628,4644,1,0],[1,4705,4833,1,0],[1,4833,4961,1,0],[1,4961,5089,1,0],[1,5089,5217,1,0],[1,5217,5345,1,0],[0,5283,5411,1,0],[0,5411,5539,1,0],[0,5539,5667,1,0],[0,5667,5795,1,0],[0,5795,5923,1,0],[0,5923,6051,1,0],[1,5939,6067,1,0],[1,6067,6195,1,0],[1,6196,6324,1,0],[1,6324,6452,1,0],[1,6452,6580,1,0],[1,6580,6708,1,0],[0,7121,7177,1,0],[0,7177,7233,1,0],[0,7233,7289,1,0],[0,7289,7345,1,0],[0,7482,7538,1,0],[0,7538,7594,1,0],[1,7570,7698,1,0]],[[0,0,128,1,0],[1,82,210,1,0],[0,128,256,1,0],[1,210,338,1,0],[0,256,384,1,0],[1,338,466,1,0],[0,384,512,1,0],[1,466,594,1,0],[0,512,640,1,0],[1,594,722,1,0],[0,640,768,1,0],[1,722,850,1,0],[0,768,896,1,0],[1,850,978,1,0],[0,920,1048,1,0],[1,978,1106,1,0],[0,1048,1176,1,0],[1,1106,1234,1,0],[0,1176,1304,1,0],[1,1234,1362,1,0],[0,1304,1432,1,0],[1,1362,1490,1,0],[0,1432,1560,1,0],[1,1490,1618,1,0],[0,1560,1688,1,0],[1,1618,1746,1,0],[0,1688,1816,1,0],[1,1746,1874,1,0],[0,2385,2513,1,0],[1,2512,2640,1,0],[0,2513,2641,1,0],[1,2640,2768,1,0],[1,2768,2896,1,0],[1,2896,3024,1,0],[1,3024,3152,1,0],[1,3152,3280,1,0],[0,3170,3298,1,0],[1,3280,3408,1,0],[0,3298,3426,1,0],[1,3408,3536,1,0],[0,3426,3554,1,0],[1,3536,3664,1,0],[0,3554,3682,1,0],[0,3682,3810,1,0],[1,3810,3938,1,0],[0,3810,3938,1,0],[1,3938,4066,1,0],[0,3938,4066,1,0],[1,4066,4194,1,0],[0,4066,4194,1,0],[0,4194,4322,1,0],[1,4196,4324,1,0],[0,4322,4450,1,0],[1,4324,4452,1,0],[0,4450,4578,1,0],[0,4578,4706,1,0],[1,4706,4834,1,0],[0,4706,4834,1,0],[1,4834,4962,1,0],[0,4834,4962,1,0],[1,4962,5090,1,0],[0,4962,5090,1,0],[1,5090,5218,1,0],[0,5090,5218,1,0],[1,5218,5346,1,0],[0,5218,5346,1,0],[0,5346,5474,1,0],[0,5474,5602,1,0],[1,5602,5730,1,0],[0,5603,5731,1,0],[1,5730,5858,1,0],[0,5731,5859,1,0],[1,5858,5986,1,0],[1,5986,6114,1,0],[1,6114,6242,1,0],[1,6242,6370,1,0],[1,6370,6498,1,0],[1,6498,6626,1,0],[1,6626,6754,1,0],[0,6665,6793,1,0],[1,6754,6882,1,0],[0,6793,6921,1,0],[1,6882,7010,1,0],[0,6921,7049,1,0],[1,7010,7138,1,0],[0,7049,7177,1,0],[0,7177,7305,1,0],[1,7305,7433,1,0],[0,7305,7433,1,0],[0,7433,7561,1,0],[0,7561,7689,1,0],[0,7689,7817,1,0],[0,7817,7945,1,0],[0,7945,8073,1,0],[0,8073,8201,1,0],[0,8201,8273,1,0],[0,8273,8345,1,0],[0,8345,8417,1,0],[0,8417,8489,1,0],[0,8632,8704,1,0],[0,8704,8776,1,0],[0,8776,8848,1,0]],[[0,32,160,1,0],[1,81,153,1,0],[1,153,225,1,0],[0,160,288,1,0],[1,225,297,1,0],[0,290,418,1,0],[1,297,369,1,0],[1,369,441,1,0],[0,418,546,1,0],[1,441,513,1,0],[1,513,585,1,0],[0,546,674,1,0],[0,674,802,1,0],[0,802,930,1,0],[1,860,916,1,0],[1,916,972,1,0],[1,972,1028,1,0],[1,1028,1084,1,0],[0,1037,1165,1,0],[1,1084,1140,1,0],[1,1140,1196,1,0],[0,1165,1293,1,0],[0,1293,1421,1,0],[0,1421,1549,1,0],[0,1549,1677,1,0],[0,1677,1805,1,0],[0,1805,1933,1,0],[1,1820,1876,1,0],[1,1876,1932,1,0],[1,1932,1988,1,0],[1,1988,2044,1,0],[1,2044,2100,1,0],[1,2100,2156,1,0],[0,2418,2546,1,0],[0,2546,2674,1,0],[0,2674,2802,1,0],[1,2730,2786,1,0],[1,2786,2842,1,0],[0,2802,2930,1,0],[1,2842,2898,1,0],[1,2898,2954,1,0],[0,2931,3059,1,0],[1,2954,3010,1,0],[1,3010,3066,1,0],[0,3059,3187,1,0],[1,3066,3122,1,0],[0,3187,3315,1,0],[1,3315,3387,1,0],[1,3387,3459,1,0],[1,3459,3531,1,0],[1,3531,3603,1,0],[1,3603,3675,1,0],[1,3675,3747,1,0],[0,3989,4117,1,0],[1,4053,4125,1,0],[0,4117,4245,1,0],[1,4127,4199,1,0],[1,4199,4271,1,0],[0,4245,4373,1,0],[1,4271,4343,1,0],[1,4343,4415,1,0],[0,4373,4501,1,0],[1,4415,4487,1,0],[1,4487,4543,1,0],[0,4501,4629,1,0],[1,4543,4599,1,0],[1,4599,4655,1,0],[0,4629,4757,1,0],[1,4655,4711,1,0],[0,4757,4885,1,0],[1,4885,4941,1,0],[1,4941,4997,1,0],[1,4997,5053,1,0],[1,5053,5125,1,0],[1,5125,5197,1,0],[1,5197,5269,1,0],[1,5269,5341,1,0],[1,5341,5413,1,0],[0,5361,5489,1,0],[1,5413,5485,1,0],[1,5485,5557,1,0],[0,5489,5617,1,0],[1,5557,5613,1,0],[1,5613,5669,1,0],[0,5617,5745,1,0],[1,5669,5725,1,0],[1,5725,5781,1,0],[0,5745,5873,1,0],[1,5781,5837,1,0],[1,5837,5893,1,0],[0,5873,6001,1,0],[1,5893,5949,1,0],[1,5949,6021,1,0],[0,6001,6129,1,0],[0,6129,6257,1,0],[0,6771,6899,1,0],[1,6823,6895,1,0],[1,6895,6967,1,0],[0,6899,7027,1,0],[1,6967,7039,1,0],[0,7027,7155,1,0],[1,7039,7111,1,0],[1,7111,7183,1,0],[0,7155,7283,1,0],[1,7183,7239,1,0],[1,7239,7295,1,0],[0,7283,7411,1,0],[1,7295,7351,1,0],[1,7351,7407,1,0],[1,7407,7463,1,0],[0,7411,7539,1,0],[1,7463,7519,1,0],[0,7539,7667,1,0],[0,7667,7795,1,0],[1,7669,7725,1,0],[1,7725,7781,1,0],[1,7781,7837,1,0],[0,7795,7923,1,0],[1,7837,7893,1,0],[1,7893,7949,1,0],[0,7923,8051,1,0],[1,7949,8005,1,0],[1,8005,8061,1,0],[0,8051,8179,1,0],[1,8124,8196,1,0],[0,8179,8307,1,0],[1,8196,8268,1,0],[1,8268,8340,1,0],[0,8307,8435,1,0],[1,8340,8412,1,0],[0,8435,8563,1,0],[1,8563,8635,1,0],[1,8635,8707,1,0],[1,8707,8779,1,0]],[[0,0,128,1,0],[1,82,210,1,0],[0,128,256,1,0],[1,210,338,1,0],[0,256,384,1,0],[1,338,466,1,0],[0,384,512,1,0],[1,466,594,1,0],[0,512,640,1,0],[1,594,722,1,0],[0,640,768,1,0],[1,722,850,1,0],[0,768,896,1,0],[1,850,978,1,0],[0,920,1048,1,0],[1,978,1106,1,0],[0,1048,1176,1,0],[1,1106,1234,1,0],[0,1176,1304,1,0],[1,1234,1362,1,0],[0,1304,1432,1,0],[1,1362,1490,1,0],[0,1432,1560,1,0],[1,1490,1618,1,0],[0,1560,1688,1,0],[1,1618,1746,1,0],[0,1688,1816,1,0],[1,1746,1874,1,0],[0,2259,2387,1,0],[0,2387,2515,1,0],[1,2512,2640,1,0],[0,2515,2643,1,0],[1,2640,2768,1,0],[1,2768,2896,1,0],[1,2896,3024,1,0],[1,3024,3152,1,0],[1,3152,3280,1,0],[0,3170,3298,1,0],[1,3280,3408,1,0],[0,3298,3426,1,0],[1,3408,3536,1,0],[0,3426,3554,1,0],[0,3554,3682,1,0],[1,3682,3810,1,0],[0,3682,3810,1,0],[1,3810,3938,1,0],[0,3810,3938,1,0],[1,3938,4066,1,0],[0,3938,4066,1,0],[1,4066,4194,1,0],[0,4066,4194,1,0],[0,4194,4322,1,0],[1,4196,4324,1,0],[0,4322,4450,1,0],[0,4450,4578,1,0],[1,4578,4706,1,0],[0,4578,4706,1,0],[1,4706,4834,1,0],[0,4706,4834,1,0],[1,4834,4962,1,0],[0,4834,4962,1,0],[1,4962,5090,1,0],[0,4962,5090,1,0],[1,5090,5218,1,0],[0,5090,5218,1,0],[1,5218,5346,1,0],[0,5218,5346,1,0],[0,5351,5479,1,0],[1,5479,5607,1,0],[0,5480,5608,1,0],[1,5607,5735,1,0],[1,5735,5863,1,0],[1,5863,5991,1,0],[1,5991,6119,1,0],[1,6119,6247,1,0],[1,6367,6495,1,0],[0,6409,6537,1,0],[1,6495,6623,1,0],[0,6537,6665,1,0],[1,6623,6751,1,0],[0,6665,6793,1,0],[1,6753,6881,1,0],[0,6793,6921,1,0],[1,6881,7009,1,0],[0,6921,7049,1,0],[0,7049,7177,1,0],[1,7177,7305,1,0],[0,7177,7305,1,0],[1,7305,7433,1,0],[0,7305,7433,1,0],[0,7433,7561,1,0],[0,7561,7689,1,0],[0,7689,7817,1,0],[0,7817,7945,1,0],[0,7945,8073,1,0],[0,8073,8145,1,0],[0,8145,8217,1,0],[0,8217,8289,1,0],[0,8289,8361,1,0],[0,8506,8578,1,0],[0,8578,8650,1,0],[0,8650,8722,1,0]],[[0,31,159,1,0],[1,81,153,1,0],[1,153,225,1,0],[0,159,287,1,0],[1,225,297,1,0],[0,287,415,1,0],[1,297,369,1,0],[1,369,441,1,0],[0,415,543,1,0],[1,441,513,1,0],[1,513,585,1,0],[0,543,671,1,0],[0,671,799,1,0],[0,799,927,1,0],[1,858,914,1,0],[1,914,970,1,0],[0,927,1055,1,0],[1,970,1026,1,0],[1,1026,1082,1,0],[0,1055,1183,1,0],[1,1082,1138,1,0],[1,1138,1194,1,0],[0,1183,1311,1,0],[0,1311,1439,1,0],[0,1439,1567,1,0],[0,1567,1695,1,0],[0,1695,1823,1,0],[1,2206,2262,1,0],[1,2262,2318,1,0],[1,2318,2374,1,0],[1,2374,2430,1,0],[0,2416,2544,1,0],[1,2430,2486,1,0],[1,2486,2542,1,0],[0,2544,2672,1,0],[0,2672,2800,1,0],[1,2727,2783,1,0],[1,2783,2839,1,0],[0,2800,2928,1,0],[1,2839,2895,1,0],[1,2895,2951,1,0],[0,2928,3056,1,0],[1,2951,3007,1,0],[1,3007,3063,1,0],[0,3056,3184,1,0],[1,3063,3119,1,0],[0,3184,3312,1,0],[1,3312,3384,1,0],[1,3384,3456,1,0],[1,3456,3528,1,0],[1,3528,3600,1,0],[1,3600,3672,1,0],[1,3672,3744,1,0],[1,4053,4125,1,0],[1,4125,4197,1,0],[1,4197,4269,1,0],[1,4269,4341,1,0],[1,4341,4413,1,0],[1,4413,4485,1,0],[0,4465,4593,1,0],[1,4587,4643,1,0],[0,4593,4721,1,0],[1,4643,4699,1,0],[1,4699,4755,1,0],[0,4721,4849,1,0],[1,4755,4811,1,0],[1,4811,4867,1,0],[0,4849,4977,1,0],[1,4867,4923,1,0],[1,4923,4979,1,0],[0,4977,5105,1,0],[1,4979,5051,1,0],[1,5051,5123,1,0],[0,5105,5233,1,0],[1,5123,5195,1,0],[0,5233,5361,1,0],[1,5361,5433,1,0],[1,5433,5505,1,0],[0,5489,5617,1,0],[1,5505,5577,1,0],[1,5577,5649,1,0],[0,5617,5745,1,0],[1,5649,5705,1,0],[1,5705,5761,1,0],[0,5745,5873,1,0],[1,5761,5817,1,0],[1,5817,5873,1,0],[0,5873,6001,1,0],[1,5875,5931,1,0],[1,5931,5987,1,0],[1,5987,6043,1,0],[0,6001,6129,1,0],[1,6043,6115,1,0],[0,6129,6257,1,0],[0,6257,6385,1,0],[0,6897,7025,1,0],[1,6954,7026,1,0],[0,7025,7153,1,0],[1,7027,7099,1,0],[1,7099,7171,1,0],[0,7153,7281,1,0],[1,7171,7243,1,0],[1,7243,7315,1,0],[0,7281,7409,1,0],[1,7315,7371,1,0],[1,7371,7427,1,0],[0,7409,7537,1,0],[1,7427,7483,1,0],[1,7483,7539,1,0],[0,7537,7665,1,0],[1,7539,7595,1,0],[1,7595,7651,1,0],[0,7665,7793,1,0],[0,7793,7921,1,0],[1,7797,7853,1,0],[1,7853,7909,1,0],[1,7909,7965,1,0],[0,7921,8049,1,0],[1,7965,8021,1,0],[1,8021,8077,1,0],[0,8049,8177,1,0],[1,8077,8133,1,0],[0,8177,8305,1,0],[1,8249,8305,1,0],[0,8305,8433,1,0],[1,8409,8481,1,0],[0,8433,8561,1,0],[1,8481,8553,1,0],[0,8561,8689,1,0],[1,8689,8761,1,0],[1,8761,8833,1,0],[1,8833,8905,1,0],[1,8905,8977,1,0],[1,8977,9049,1,0]],[[0,14,142,1,0],[1,81,209,1,0],[0,142,270,1,0],[1,209,337,1,0],[0,270,398,1,0],[1,337,465,1,0],[0,398,526,1,0],[1,465,593,1,0],[0,526,654,1,0],[1,593,721,1,0],[0,654,782,1,0],[1,721,849,1,0],[0,782,910,1,0],[1,849,977,1,0],[0,910,1038,1,0],[1,977,1105,1,0],[0,1038,1166,1,0],[1,1105,1233,1,0],[0,1166,1294,1,0],[1,1233,1361,1,0],[0,1294,1422,1,0],[1,1361,1489,1,0],[0,1422,1550,1,0],[1,1489,1617,1,0],[1,1617,1745,1,0],[0,1666,1794,1,0],[1,1745,1873,1,0],[0,1794,1922,1,0],[0,1922,2050,1,0],[0,2050,2178,1,0],[0,2178,2306,1,0],[0,2306,2434,1,0],[1,2575,2703,1,0],[1,2703,2831,1,0],[1,2831,2959,1,0],[1,2959,3087,1,0],[1,3087,3215,1,0],[1,3215,3343,1,0],[1,3343,3471,1,0],[0,3419,3547,1,0],[1,3471,3599,1,0],[0,3554,3626,1,0],[1,3599,3727,1,0],[0,3626,3698,1,0],[0,3698,3770,1,0],[1,3727,3855,1,0],[0,3770,3842,1,0],[0,3842,3914,1,0],[1,3855,3983,1,0],[0,3914,3986,1,0],[1,3983,4111,1,0],[0,3986,4114,1,0],[1,4111,4239,1,0],[0,4114,4242,1,0],[0,4242,4370,1,0],[0,4370,4498,1,0],[0,4498,4626,1,0],[1,4626,4754,1,0],[1,4754,4882,1,0],[1,4882,5010,1,0],[1,5010,5138,1,0],[0,5015,5143,1,0],[1,5138,5266,1,0],[0,5143,5271,1,0],[1,5266,5394,1,0],[0,5271,5399,1,0],[1,5394,5522,1,0],[0,5399,5527,1,0],[1,5522,5650,1,0],[0,5527,5655,1,0],[1,5650,5778,1,0],[0,5655,5783,1,0],[1,5778,5906,1,0],[0,5784,5912,1,0],[1,5906,6034,1,0],[0,5912,6040,1,0],[1,6034,6162,1,0],[0,6040,6168,1,0],[1,6162,6290,1,0],[0,6168,6296,1,0],[0,6296,6424,1,0],[0,6424,6552,1,0]],[[0,0,128,1,0],[1,82,210,1,0],[0,128,256,1,0],[1,210,338,1,0],[0,256,384,1,0],[1,338,466,1,0],[0,384,512,1,0],[1,466,594,1,0],[0,512,640,1,0],[1,594,722,1,0],[0,640,768,1,0],[1,722,850,1,0],[0,786,914,1,0],[0,914,1042,1,0],[0,1042,1170,1,0],[0,1170,1298,1,0],[0,1298,1426,1,0],[0,1426,1554,1,0],[1,1683,1811,1,0],[1,1811,1939,1,0],[1,1939,2067,1,0],[1,2067,2195,1,0],[1,2195,2323,1,0],[1,2323,2451,1,0],[1,2451,2579,1,0],[0,2467,2595,1,0],[1,2579,2707,1,0],[0,2595,2723,1,0],[1,2707,2835,1,0],[0,2723,2851,1,0],[1,2835,2963,1,0],[0,2851,2979,1,0],[1,2963,3091,1,0],[0,2979,3107,1,0],[1,3091,3219,1,0],[0,3107,3235,1,0],[1,3219,3347,1,0],[1,3347,3475,1,0],[0,3415,3543,1,0],[1,3475,3603,1,0],[0,3543,3671,1,0],[0,3671,3799,1,0],[0,3799,3927,1,0],[0,3927,4055,1,0],[0,4055,4183,1,0],[1,4056,4184,1,0],[0,4183,4311,1,0],[1,4184,4312,1,0],[0,4311,4439,1,0],[1,4312,4440,1,0],[0,4439,4567,1,0],[1,4440,4568,1,0],[0,4567,4695,1,0],[1,4568,4696,1,0],[0,4695,4823,1,0],[0,4823,4951,1,0],[1,4949,5077,1,0],[1,5077,5205,1,0],[1,5205,5333,1,0],[1,5333,5461,1,0],[1,5461,5589,1,0],[1,5589,5717,1,0],[1,5717,5845,1,0],[0,5791,5919,1,0],[0,5919,6047,1,0],[0,6047,6175,1,0],[0,6175,6303,1,0],[0,6303,6431,1,0],[0,6431,6559,1,0],[0,6559,6631,1,0],[0,6633,6705,1,0],[0,6705,6777,1,0],[0,6777,6849,1,0],[0,6849,6921,1,0],[0,6921,6993,1,0],[1,6993,7121,1,0],[1,7121,7249,1,0],[1,7249,7377,1,0],[1,7377,7505,1,0],[1,7505,7633,1,0],[1,7633,7761,1,0],[1,7761,7889,1,0]],[[0,15,143,1,0],[1,81,209,1,0],[0,143,271,1,0],[1,209,337,1,0],[0,271,399,1,0],[1,337,465,1,0],[0,399,527,1,0],[1,465,593,1,0],[0,527,655,1,0],[1,593,721,1,0],[0,655,783,1,0],[1,721,849,1,0],[0,783,911,1,0],[1,849,977,1,0],[0,911,1039,1,0],[1,977,1105,1,0],[0,1039,1167,1,0],[1,1105,1233,1,0],[0,1167,1295,1,0],[1,1233,1361,1,0],[0,1295,1423,1,0],[1,1361,1489,1,0],[0,1423,1551,1,0],[1,1489,1617,1,0],[1,1617,1745,1,0],[0,1666,1794,1,0],[1,1745,1873,1,0],[0,1794,1922,1,0],[0,1922,2050,1,0],[0,2050,2178,1,0],[0,2178,2306,1,0],[0,2306,2434,1,0],[1,2574,2702,1,0],[1,2702,2830,1,0],[1,2830,2958,1,0],[1,2958,3086,1,0],[1,3086,3214,1,0],[1,3214,3342,1,0],[1,3342,3470,1,0],[0,3417,3545,1,0],[1,3470,3598,1,0],[0,3553,3625,1,0],[1,3598,3726,1,0],[0,3625,3697,1,0],[0,3697,3769,1,0],[1,3726,3854,1,0],[0,3769,3841,1,0],[0,3841,3913,1,0],[1,3854,3982,1,0],[0,3913,3985,1,0],[1,3982,4110,1,0],[0,3985,4113,1,0],[1,4110,4238,1,0],[0,4113,4241,1,0],[0,4241,4369,1,0],[0,4369,4497,1,0],[0,4497,4625,1,0],[1,4625,4753,1,0],[1,4753,4881,1,0],[1,4881,5009,1,0],[1,5009,5137,1,0],[0,5014,5142,1,0],[1,5137,5265,1,0],[0,5142,5270,1,0],[1,5265,5393,1,0],[0,5270,5398,1,0],[1,5393,5521,1,0],[0,5398,5526,1,0],[1,5521,5649,1,0],[0,5526,5654,1,0],[1,5649,5777,1,0],[0,5654,5782,1,0],[1,5777,5905,1,0],[0,5782,5910,1,0],[1,5905,6033,1,0],[0,5910,6038,1,0],[1,6033,6161,1,0],[0,6038,6166,1,0],[1,6161,6289,1,0],[0,6166,6294,1,0],[0,6294,6422,1,0],[0,6422,6550,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,130,258,1,0],[1,212,340,1,0],[0,258,386,1,0],[1,340,468,1,0],[0,386,514,1,0],[1,468,596,1,0],[0,514,642,1,0],[1,596,724,1,0],[0,642,770,1,0],[1,724,852,1,0],[0,787,915,1,0],[0,915,1043,1,0],[0,1043,1171,1,0],[0,1171,1299,1,0],[0,1299,1427,1,0],[0,1427,1555,1,0],[1,1680,1808,1,0],[1,1808,1936,1,0],[1,1936,2064,1,0],[1,2064,2192,1,0],[1,2192,2320,1,0],[1,2320,2448,1,0],[1,2448,2576,1,0],[0,2468,2596,1,0],[1,2576,2704,1,0],[0,2596,2724,1,0],[0,2724,2852,1,0],[0,2852,2980,1,0],[0,2980,3108,1,0],[0,3108,3236,1,0],[1,3236,3364,1,0],[1,3364,3492,1,0],[0,3415,3543,1,0],[1,3492,3620,1,0],[0,3543,3671,1,0],[1,3620,3748,1,0],[0,3671,3799,1,0],[1,3748,3876,1,0],[0,3799,3927,1,0],[1,3876,4004,1,0],[0,4009,4137,1,0],[0,4137,4265,1,0],[0,4265,4393,1,0],[0,4393,4521,1,0],[1,4521,4649,1,0],[1,4649,4777,1,0],[1,4777,4905,1,0],[1,4905,5033,1,0],[1,5033,5161,1,0],[1,5161,5289,1,0],[0,5166,5294,1,0],[0,5294,5422,1,0],[0,5422,5550,1,0],[0,5550,5678,1,0],[1,5678,5806,1,0],[0,5727,5799,1,0],[0,5799,5871,1,0],[1,5806,5934,1,0],[1,5934,6062,1,0],[1,6062,6190,1,0],[0,6129,6257,1,0],[1,6190,6318,1,0],[0,6257,6385,1,0],[1,6318,6446,1,0],[1,6446,6574,1,0],[0,6579,6707,1,0],[0,6707,6835,1,0],[0,6835,6963,1,0],[0,6963,7091,1,0],[0,7091,7163,1,0],[0,7163,7235,1,0],[0,7235,7307,1,0],[0,7307,7379,1,0],[1,7379,7507,1,0],[1,7507,7635,1,0],[1,7635,7763,1,0],[1,7763,7891,1,0],[1,7891,8019,1,0],[1,8019,8147,1,0],[1,8147,8275,1,0]],[[0,24,152,1,0],[1,81,209,1,0],[0,152,280,1,0],[1,209,337,1,0],[0,280,408,1,0],[1,337,465,1,0],[0,408,536,1,0],[1,465,593,1,0],[0,536,664,1,0],[1,593,721,1,0],[0,664,792,1,0],[1,721,849,1,0],[0,792,920,1,0],[1,1002,1130,1,0],[1,1504,1632,1,0],[1,1632,1760,1,0],[1,1760,1888,1,0],[1,1888,2016,1,0],[0,1946,2066,1,0],[1,2016,2144,1,0],[0,2066,2186,1,0],[1,2144,2272,1,0],[0,2186,2306,1,0],[1,2272,2400,1,0],[0,2306,2426,1,0],[1,2400,2528,1,0],[0,2426,2546,1,0],[1,2528,2656,1,0],[0,2546,2666,1,0],[1,2656,2784,1,0],[0,2666,2786,1,0],[1,2784,2912,1,0],[0,2804,2924,1,0],[1,2912,3040,1,0],[0,2924,3044,1,0],[0,3044,3164,1,0],[0,3164,3284,1,0],[0,3284,3404,1,0],[1,3359,3487,1,0],[0,3404,3524,1,0],[1,3487,3615,1,0],[0,3524,3644,1,0],[1,3615,3743,1,0],[1,3743,3871,1,0],[0,3758,3878,1,0],[1,3871,3999,1,0],[0,3878,3998,1,0],[0,3998,4118,1,0],[1,3999,4127,1,0],[0,4118,4238,1,0],[0,4238,4358,1,0],[1,4260,4388,1,0],[0,4358,4478,1,0],[0,4478,4598,1,0],[0,4598,4718,1,0],[0,4718,4838,1,0],[0,4838,4958,1,0],[0,4958,5078,1,0],[0,5078,5198,1,0],[0,5198,5318,1,0],[0,5318,5438,1,0],[0,5438,5558,1,0],[0,5558,5678,1,0],[0,5678,5798,1,0],[0,5798,5918,1,0],[0,5918,6038,1,0],[0,6038,6158,1,0],[1,6061,6189,1,0],[0,6158,6278,1,0],[1,6189,6317,1,0],[1,6317,6445,1,0],[1,6445,6573,1,0],[1,6573,6701,1,0],[1,6701,6829,1,0],[1,6829,6957,1,0],[1,6957,7085,1,0],[0,7037,7157,1,0],[1,7085,7213,1,0],[0,7157,7277,1,0],[1,7213,7341,1,0],[0,7277,7397,1,0],[1,7341,7469,1,0],[0,7397,7517,1,0],[1,7469,7597,1,0],[0,7518,7638,1,0],[1,7597,7725,1,0],[0,7638,7758,1,0],[0,7758,7878,1,0],[0,7878,7998,1,0],[0,7998,8118,1,0],[0,8118,8238,1,0],[0,8238,8358,1,0],[0,8358,8478,1,0],[0,8478,8598,1,0],[0,8598,8718,1,0],[1,8729,8857,1,0],[1,8857,8985,1,0],[1,8985,9113,1,0],[1,9113,9241,1,0],[1,9241,9369,1,0],[1,9369,9497,1,0],[1,9497,9625,1,0]],[[0,18,138,1,0],[1,81,209,1,0],[0,138,258,1,0],[1,209,337,1,0],[0,258,378,1,0],[1,337,465,1,0],[0,378,498,1,0],[1,465,593,1,0],[0,498,618,1,0],[1,593,721,1,0],[0,618,738,1,0],[1,721,849,1,0],[0,738,858,1,0],[1,849,977,1,0],[0,858,978,1,0],[1,977,1105,1,0],[0,978,1098,1,0],[0,1098,1218,1,0],[1,1105,1233,1,0],[1,1233,1361,1,0],[1,1361,1489,1,0],[1,1489,1617,1,0],[1,1735,1863,1,0],[1,1863,1991,1,0],[0,1959,2079,1,0],[1,1991,2119,1,0],[0,2079,2199,1,0],[1,2119,2247,1,0],[0,2199,2319,1,0],[1,2247,2375,1,0],[0,2319,2439,1,0],[1,2375,2503,1,0],[0,2439,2559,1,0],[1,2503,2631,1,0],[0,2559,2679,1,0],[0,2679,2799,1,0],[0,2799,2919,1,0],[0,2919,3039,1,0],[0,3039,3159,1,0],[0,3159,3279,1,0],[0,3279,3407,1,0],[1,3298,3426,1,0],[0,3407,3535,1,0],[1,3426,3554,1,0],[0,3535,3663,1,0],[1,3554,3682,1,0],[0,3663,3791,1,0],[1,3682,3810,1,0],[0,3791,3919,1,0],[1,3810,3938,1,0],[0,3919,4047,1,0],[1,3938,4066,1,0],[0,4047,4175,1,0],[1,4066,4194,1,0],[1,4194,4322,1,0],[1,4322,4450,1,0],[1,4450,4578,1,0],[1,4578,4706,1,0],[1,4706,4834,1,0],[1,4834,4962,1,0],[0,5319,5439,1,0],[0,5439,5559,1,0],[0,5559,5679,1,0],[1,5596,5724,1,0],[0,5679,5799,1,0],[1,5724,5852,1,0],[0,5799,5919,1,0],[1,5852,5980,1,0],[0,5961,6081,1,0],[1,5980,6108,1,0],[0,6081,6201,1,0],[1,6108,6236,1,0],[0,6201,6321,1,0],[1,6236,6364,1,0],[0,6321,6441,1,0],[0,6441,6561,1,0],[0,6561,6681,1,0],[0,6681,6801,1,0],[0,6801,6921,1,0],[1,6864,6992,1,0],[0,6921,7041,1,0],[1,6992,7120,1,0],[0,7041,7161,1,0],[1,7120,7248,1,0],[0,7161,7281,1,0],[1,7248,7376,1,0],[0,7281,7401,1,0],[1,7376,7504,1,0],[0,7401,7521,1,0],[1,7504,7632,1,0],[0,7521,7641,1,0],[1,7632,7760,1,0],[0,7641,7761,1,0],[0,7761,7881,1,0],[1,7887,8015,1,0],[0,7887,8007,1,0],[0,8007,8127,1,0],[0,8127,8247,1,0],[0,8247,8367,1,0],[0,8367,8487,1,0],[0,8487,8607,1,0],[0,8607,8727,1,0]],[[0,23,151,1,0],[1,81,209,1,0],[0,151,279,1,0],[1,209,337,1,0],[0,279,407,1,0],[1,337,465,1,0],[0,407,535,1,0],[1,465,593,1,0],[0,535,663,1,0],[1,593,721,1,0],[0,663,791,1,0],[1,721,849,1,0],[0,791,919,1,0],[1,1003,1131,1,0],[1,1760,1888,1,0],[1,1888,2016,1,0],[0,1943,2063,1,0],[1,2017,2145,1,0],[0,2063,2183,1,0],[1,2145,2273,1,0],[0,2183,2303,1,0],[1,2273,2401,1,0],[0,2303,2423,1,0],[1,2401,2529,1,0],[0,2423,2543,1,0],[1,2529,2657,1,0],[0,2543,2663,1,0],[1,2657,2785,1,0],[0,2663,2783,1,0],[1,2785,2913,1,0],[0,2803,2923,1,0],[1,2913,3041,1,0],[0,2923,3043,1,0],[1,3041,3169,1,0],[0,3043,3163,1,0],[0,3163,3283,1,0],[1,3169,3297,1,0],[0,3283,3403,1,0],[1,3360,3488,1,0],[0,3403,3523,1,0],[1,3488,3616,1,0],[0,3523,3643,1,0],[1,3616,3744,1,0],[1,3744,3872,1,0],[0,3757,3877,1,0],[1,3872,4000,1,0],[0,3877,3997,1,0],[0,3997,4117,1,0],[1,4000,4128,1,0],[0,4117,4237,1,0],[0,4237,4357,1,0],[1,4261,4389,1,0],[0,4357,4477,1,0],[0,4477,4597,1,0],[0,4597,4717,1,0],[0,4717,4837,1,0],[0,4837,4957,1,0],[0,4957,5077,1,0],[0,5077,5197,1,0],[0,5197,5317,1,0],[0,5317,5437,1,0],[0,5437,5557,1,0],[0,5557,5677,1,0],[0,5677,5797,1,0],[0,5797,5917,1,0],[0,5917,6037,1,0],[0,6037,6157,1,0],[1,6062,6190,1,0],[0,6157,6277,1,0],[1,6190,6318,1,0],[1,6318,6446,1,0],[1,6446,6574,1,0],[1,6574,6702,1,0],[1,6702,6830,1,0],[1,6830,6958,1,0],[1,6958,7086,1,0],[0,7035,7155,1,0],[1,7086,7214,1,0],[0,7155,7275,1,0],[1,7214,7342,1,0],[0,7275,7395,1,0],[1,7342,7470,1,0],[0,7395,7515,1,0],[1,7470,7598,1,0],[0,7515,7635,1,0],[1,7598,7726,1,0],[0,7635,7755,1,0],[0,7755,7875,1,0],[0,7875,7995,1,0],[0,7995,8115,1,0],[0,8115,8235,1,0],[0,8235,8355,1,0],[0,8355,8475,1,0],[0,8475,8595,1,0],[0,8595,8715,1,0],[1,8727,8855,1,0],[1,8855,8983,1,0],[1,8983,9111,1,0],[1,9111,9239,1,0],[1,9239,9367,1,0],[1,9367,9495,1,0],[1,9495,9623,1,0]],[[0,19,139,1,0],[1,81,209,1,0],[0,139,259,1,0],[1,209,337,1,0],[0,259,379,1,0],[1,337,465,1,0],[0,379,499,1,0],[1,465,593,1,0],[0,499,619,1,0],[1,593,721,1,0],[0,619,739,1,0],[1,721,849,1,0],[0,739,859,1,0],[1,849,977,1,0],[1,977,1105,1,0],[1,1105,1233,1,0],[1,1233,1361,1,0],[0,1321,1441,1,0],[1,1361,1489,1,0],[1,1489,1617,1,0],[1,1733,1861,1,0],[1,1861,1989,1,0],[1,1989,2117,1,0],[0,2039,2159,1,0],[1,2117,2245,1,0],[0,2159,2279,1,0],[1,2245,2373,1,0],[0,2279,2399,1,0],[1,2373,2501,1,0],[0,2399,2519,1,0],[1,2501,2629,1,0],[0,2519,2639,1,0],[0,2639,2759,1,0],[0,2759,2879,1,0],[0,2879,2999,1,0],[0,2999,3119,1,0],[0,3119,3239,1,0],[0,3239,3359,1,0],[1,3295,3423,1,0],[0,3359,3479,1,0],[1,3423,3551,1,0],[0,3479,3599,1,0],[1,3551,3679,1,0],[0,3600,3728,1,0],[1,3679,3807,1,0],[0,3728,3856,1,0],[1,3807,3935,1,0],[0,3856,3984,1,0],[1,3935,4063,1,0],[0,3984,4112,1,0],[1,4063,4191,1,0],[0,4112,4240,1,0],[1,4191,4319,1,0],[0,4240,4368,1,0],[1,4319,4447,1,0],[0,4368,4496,1,0],[1,4447,4575,1,0],[1,4575,4703,1,0],[1,4703,4831,1,0],[1,4831,4959,1,0],[0,5316,5436,1,0],[0,5436,5556,1,0],[0,5556,5676,1,0],[1,5601,5729,1,0],[0,5676,5796,1,0],[1,5729,5857,1,0],[0,5796,5916,1,0],[1,5857,5985,1,0],[0,5916,6036,1,0],[1,5985,6113,1,0],[0,6036,6156,1,0],[1,6113,6241,1,0],[0,6211,6331,1,0],[1,6241,6369,1,0],[0,6331,6451,1,0],[0,6451,6571,1,0],[0,6571,6691,1,0],[0,6691,6811,1,0],[0,6811,6931,1,0],[0,6931,7051,1,0],[0,7137,7257,1,0],[1,7158,7286,1,0],[0,7257,7377,1,0],[0,7377,7497,1,0],[1,7478,7606,1,0],[0,7497,7617,1,0],[1,7606,7734,1,0],[0,7617,7737,1,0],[1,7734,7862,1,0],[0,7737,7857,1,0],[0,7857,7977,1,0],[1,7862,7990,1,0],[1,7990,8118,1,0],[1,8118,8246,1,0],[1,8246,8374,1,0],[0,8751,8871,1,0],[0,8871,8991,1,0],[0,8991,9111,1,0],[0,9111,9231,1,0],[0,9231,9351,1,0],[0,9351,9471,1,0],[0,9471,9591,1,0]],[[0,24,144,1,0],[1,81,209,1,0],[0,144,264,1,0],[1,209,337,1,0],[0,264,384,1,0],[1,337,465,1,0],[0,386,506,1,0],[1,465,593,1,0],[0,506,626,1,0],[1,593,721,1,0],[0,626,746,1,0],[1,721,849,1,0],[0,746,866,1,0],[1,849,977,1,0],[0,1407,1527,1,0],[0,1527,1647,1,0],[0,1647,1767,1,0],[0,1767,1887,1,0],[0,1887,2007,1,0],[1,1946,2074,1,0],[0,2007,2127,1,0],[1,2074,2202,1,0],[0,2127,2247,1,0],[1,2202,2330,1,0],[1,2791,2919,1,0],[0,2847,2967,1,0],[1,2919,3047,1,0],[1,3047,3175,1,0],[0,3061,3181,1,0],[1,3175,3303,1,0],[0,3181,3301,1,0],[0,3301,3421,1,0],[1,3303,3431,1,0],[0,3421,3541,1,0],[1,3431,3559,1,0],[0,3541,3661,1,0],[1,3559,3687,1,0],[0,3661,3781,1,0],[1,3687,3815,1,0],[0,3781,3901,1,0],[1,3815,3943,1,0],[0,3901,4021,1,0],[1,3943,4071,1,0],[0,4021,4141,1,0],[0,4141,4261,1,0],[0,4261,4381,1,0],[0,4381,4501,1,0],[0,4501,4621,1,0],[0,4621,4741,1,0],[0,4741,4861,1,0],[1,4840,4968,1,0],[0,4861,4981,1,0],[1,4968,5096,1,0],[0,4981,5101,1,0],[1,5096,5224,1,0],[0,5101,5221,1,0],[0,5221,5341,1,0],[0,5341,5461,1,0],[1,5886,6014,1,0],[1,6014,6142,1,0],[0,6066,6186,1,0],[1,6142,6270,1,0],[0,6186,6306,1,0],[0,6306,6426,1,0],[0,6426,6546,1,0],[0,6546,6666,1,0],[0,6666,6786,1,0],[0,6786,6906,1,0],[0,6906,7026,1,0],[1,6971,7099,1,0],[0,7026,7146,1,0],[1,7099,7227,1,0],[0,7148,7268,1,0],[1,7227,7355,1,0],[0,7268,7388,1,0],[1,7355,7483,1,0],[0,7388,7508,1,0],[1,7483,7611,1,0],[0,7508,7628,1,0],[1,7611,7739,1,0],[0,7628,7748,1,0],[1,8465,8593,1,0],[1,8593,8721,1,0],[1,8721,8849,1,0],[1,8849,8977,1,0],[1,8977,9105,1,0],[1,9105,9233,1,0],[1,9233,9361,1,0]],[[0,18,138,1,0],[1,81,201,1,0],[0,138,258,1,0],[1,201,321,1,0],[0,258,378,1,0],[1,321,441,1,0],[0,378,498,1,0],[1,441,561,1,0],[1,561,681,1,0],[1,681,801,1,0],[1,801,921,1,0],[0,926,1046,1,0],[0,1046,1166,1,0],[0,1166,1286,1,0],[0,1286,1406,1,0],[0,1406,1526,1,0],[0,1526,1646,1,0],[0,1646,1766,1,0],[0,1766,1886,1,0],[1,1886,2006,1,0],[0,1886,2014,1,0],[1,2006,2126,1,0],[0,2014,2142,1,0],[1,2126,2246,1,0],[0,2142,2270,1,0],[1,2246,2366,1,0],[1,2366,2486,1,0],[1,2486,2606,1,0],[1,2606,2726,1,0],[0,2731,2859,1,0],[0,2859,2987,1,0],[0,2987,3115,1,0],[1,3115,3235,1,0],[1,3235,3355,1,0],[1,3355,3475,1,0],[1,3475,3595,1,0],[0,3516,3636,1,0],[1,3595,3715,1,0],[0,3636,3756,1,0],[1,3715,3835,1,0],[1,3835,3955,1,0],[0,3960,4080,1,0],[0,4080,4200,1,0],[0,4200,4320,1,0],[0,4320,4440,1,0],[1,4440,4560,1,0],[1,4560,4680,1,0],[1,4680,4800,1,0],[0,4729,4849,1,0],[1,4800,4920,1,0],[0,4849,4969,1,0],[1,4920,5040,1,0],[0,4969,5089,1,0],[1,5040,5160,1,0],[0,5089,5209,1,0],[1,5160,5280,1,0],[0,5285,5405,1,0],[0,5405,5525,1,0],[0,5525,5645,1,0],[0,5645,5765,1,0],[0,5765,5885,1,0],[0,5885,6005,1,0],[0,6005,6125,1,0],[0,6125,6245,1,0],[1,6245,6365,1,0],[1,6365,6485,1,0],[1,6485,6605,1,0],[1,6605,6725,1,0],[1,6725,6845,1,0],[1,6845,6965,1,0],[0,6910,7030,1,0],[1,6965,7085,1,0],[0,7030,7150,1,0],[1,7085,7205,1,0],[0,7150,7270,1,0],[1,7205,7325,1,0],[0,7270,7390,1,0],[1,7325,7445,1,0],[0,7390,7510,1,0],[1,7445,7565,1,0],[0,7510,7630,1,0],[1,7565,7685,1,0]],[[0,23,143,1,0],[1,81,209,1,0],[0,143,263,1,0],[1,209,337,1,0],[0,263,383,1,0],[1,337,465,1,0],[0,383,503,1,0],[1,465,593,1,0],[0,503,623,1,0],[1,593,721,1,0],[0,623,743,1,0],[1,721,849,1,0],[0,743,863,1,0],[1,849,977,1,0],[0,1405,1525,1,0],[0,1525,1645,1,0],[0,1645,1765,1,0],[0,1765,1885,1,0],[0,1885,2005,1,0],[1,1945,2073,1,0],[0,2005,2125,1,0],[1,2073,2201,1,0],[0,2125,2245,1,0],[1,2201,2329,1,0],[1,2790,2918,1,0],[0,2845,2965,1,0],[1,2918,3046,1,0],[1,3046,3174,1,0],[0,3062,3182,1,0],[1,3174,3302,1,0],[0,3182,3302,1,0],[0,3302,3422,1,0],[1,3302,3430,1,0],[0,3422,3542,1,0],[1,3430,3558,1,0],[0,3542,3662,1,0],[1,3558,3686,1,0],[0,3662,3782,1,0],[1,3686,3814,1,0],[0,3782,3902,1,0],[1,3814,3942,1,0],[0,3902,4022,1,0],[1,3942,4070,1,0],[0,4022,4142,1,0],[0,4142,4262,1,0],[0,4262,4382,1,0],[0,4382,4502,1,0],[0,4502,4622,1,0],[0,4622,4742,1,0],[0,4742,4862,1,0],[1,4837,4965,1,0],[0,4862,4982,1,0],[1,4965,5093,1,0],[0,4982,5102,1,0],[1,5093,5221,1,0],[0,5102,5222,1,0],[0,5222,5342,1,0],[0,5342,5462,1,0],[1,5886,6014,1,0],[1,6014,6142,1,0],[0,6067,6187,1,0],[1,6142,6270,1,0],[0,6187,6307,1,0],[0,6307,6427,1,0],[0,6427,6547,1,0],[0,6547,6667,1,0],[0,6667,6787,1,0],[0,6787,6907,1,0],[0,6907,7027,1,0],[1,6969,7097,1,0],[0,7027,7147,1,0],[1,7097,7225,1,0],[0,7147,7267,1,0],[1,7225,7353,1,0],[0,7267,7387,1,0],[1,7353,7481,1,0],[0,7387,7507,1,0],[1,7481,7609,1,0],[0,7507,7627,1,0],[1,7609,7737,1,0],[0,7627,7747,1,0],[1,8464,8592,1,0],[1,8592,8720,1,0],[1,8720,8848,1,0],[1,8848,8976,1,0],[1,8976,9104,1,0],[1,9104,9232,1,0],[1,9232,9360,1,0]],[[0,19,139,1,0],[1,81,201,1,0],[0,139,259,1,0],[1,201,321,1,0],[0,259,379,1,0],[1,321,441,1,0],[0,379,499,1,0],[1,441,561,1,0],[1,561,681,1,0],[1,681,801,1,0],[1,801,921,1,0],[0,926,1046,1,0],[0,1046,1166,1,0],[0,1166,1286,1,0],[0,1286,1406,1,0],[0,1406,1526,1,0],[0,1526,1646,1,0],[0,1646,1766,1,0],[0,1766,1886,1,0],[1,1886,2006,1,0],[0,1886,2014,1,0],[1,2006,2126,1,0],[0,2014,2142,1,0],[1,2126,2246,1,0],[0,2142,2270,1,0],[1,2246,2366,1,0],[1,2366,2486,1,0],[1,2486,2606,1,0],[1,2606,2726,1,0],[0,2731,2859,1,0],[0,2859,2987,1,0],[0,2987,3115,1,0],[1,3115,3235,1,0],[1,3235,3355,1,0],[1,3355,3475,1,0],[1,3475,3595,1,0],[0,3517,3637,1,0],[1,3595,3715,1,0],[0,3637,3757,1,0],[1,3715,3835,1,0],[1,3835,3955,1,0],[0,3960,4080,1,0],[0,4080,4200,1,0],[0,4200,4320,1,0],[0,4320,4440,1,0],[1,4440,4560,1,0],[1,4560,4680,1,0],[1,4680,4800,1,0],[0,4726,4846,1,0],[1,4800,4920,1,0],[0,4846,4966,1,0],[1,4920,5040,1,0],[0,4966,5086,1,0],[1,5040,5160,1,0],[0,5086,5206,1,0],[1,5160,5280,1,0],[0,5285,5405,1,0],[0,5405,5525,1,0],[0,5525,5645,1,0],[0,5645,5765,1,0],[0,5765,5885,1,0],[0,5885,6005,1,0],[0,6005,6125,1,0],[0,6125,6245,1,0],[1,6245,6365,1,0],[1,6365,6485,1,0],[1,6485,6605,1,0],[1,6605,6725,1,0],[1,6725,6845,1,0],[1,6845,6965,1,0],[0,6911,7031,1,0],[1,6965,7085,1,0],[0,7031,7151,1,0],[1,7085,7205,1,0],[0,7151,7271,1,0],[1,7205,7325,1,0],[0,7271,7391,1,0],[1,7325,7445,1,0],[0,7391,7511,1,0],[1,7445,7565,1,0],[0,7511,7631,1,0],[1,7565,7685,1,0]],[[0,24,144,1,0],[1,81,201,1,0],[0,144,264,1,0],[1,201,321,1,0],[0,264,384,1,0],[1,321,441,1,0],[0,384,504,1,0],[1,443,563,1,0],[0,504,624,1,0],[1,563,683,1,0],[1,683,803,1,0],[0,712,832,1,0],[1,803,923,1,0],[0,928,1048,1,0],[0,1048,1168,1,0],[1,1050,1170,1,0],[0,1168,1288,1,0],[1,1170,1290,1,0],[0,1288,1408,1,0],[1,1290,1410,1,0],[0,1408,1528,1,0],[0,1528,1648,1,0],[1,1648,1768,1,0],[1,1768,1888,1,0],[1,1888,2008,1,0],[1,2008,2128,1,0],[0,2021,2141,1,0],[0,2141,2261,1,0],[0,2261,2381,1,0],[0,2381,2501,1,0],[0,2501,2621,1,0],[0,2621,2741,1,0],[0,2866,2986,1,0],[0,2986,3106,1,0],[0,3106,3226,1,0],[0,3226,3346,1,0],[0,3346,3466,1,0],[0,3466,3586,1,0],[0,3680,3800,1,0],[1,3763,3883,1,0],[0,3800,3920,1,0],[1,3883,4003,1,0],[0,3920,4040,1,0],[1,4003,4123,1,0],[0,4040,4160,1,0],[1,4123,4243,1,0],[0,4160,4280,1,0],[1,4243,4363,1,0],[0,4280,4400,1,0],[1,4363,4483,1,0],[0,4480,4608,1,0],[0,4608,4736,1,0],[1,4635,4755,1,0],[0,4736,4864,1,0],[1,4755,4875,1,0],[0,4864,4992,1,0],[1,4875,4995,1,0],[1,4995,5115,1,0],[1,5115,5235,1,0],[0,5232,5360,1,0],[1,5235,5355,1,0],[1,5355,5475,1,0],[0,5360,5488,1,0],[1,5475,5595,1,0],[1,5595,5715,1,0],[1,5715,5835,1,0],[1,5835,5955,1,0],[0,5871,5991,1,0],[1,5955,6075,1,0],[0,5991,6111,1,0],[1,6075,6195,1,0],[0,6111,6231,1,0],[0,6231,6351,1,0],[0,6351,6471,1,0],[1,6422,6542,1,0],[0,6471,6591,1,0],[1,6542,6662,1,0],[1,6662,6782,1,0],[1,6782,6902,1,0],[1,6902,7022,1,0],[1,7022,7142,1,0],[1,7142,7262,1,0]],[[1,633,753,1,0],[1,753,873,1,0],[1,873,993,1,0],[1,993,1113,1,0],[1,1113,1233,1,0],[1,1233,1353,1,0],[1,1353,1473,1,0],[1,1473,1593,1,0],[1,1593,1713,1,0],[1,1713,1833,1,0],[1,1833,1953,1,0],[1,1953,2073,1,0],[1,2073,2193,1,0],[1,2193,2313,1,0],[1,2313,2433,1,0],[1,2433,2553,1,0],[1,2553,2673,1,0],[1,2673,2793,1,0],[1,2793,2913,1,0],[1,2913,3033,1,0],[1,3033,3153,1,0],[1,3153,3273,1,0],[1,3273,3393,1,0],[1,3393,3513,1,0],[1,3513,3633,1,0],[1,4576,4696,1,0],[1,4696,4816,1,0],[1,4816,4936,1,0],[1,4936,5056,1,0],[1,5056,5176,1,0],[1,5176,5296,1,0],[1,5296,5416,1,0],[1,5416,5536,1,0],[1,5536,5656,1,0],[1,5656,5776,1,0],[1,5776,5896,1,0],[1,5896,6016,1,0],[1,6016,6136,1,0],[1,6136,6256,1,0],[1,6315,6435,1,0],[1,6435,6555,1,0],[1,8469,8589,1,0],[1,8589,8709,1,0],[1,8709,8829,1,0],[1,8829,8949,1,0],[1,8949,9069,1,0]],[[0,23,143,1,0],[1,81,201,1,0],[0,143,263,1,0],[1,201,321,1,0],[0,263,383,1,0],[1,321,441,1,0],[0,383,503,1,0],[1,441,561,1,0],[0,503,623,1,0],[1,561,681,1,0],[1,681,801,1,0],[0,711,831,1,0],[1,801,921,1,0],[0,926,1046,1,0],[0,1046,1166,1,0],[1,1048,1168,1,0],[0,1166,1286,1,0],[1,1168,1288,1,0],[0,1286,1406,1,0],[1,1288,1408,1,0],[0,1406,1526,1,0],[0,1526,1646,1,0],[1,1646,1766,1,0],[1,1766,1886,1,0],[1,1886,2006,1,0],[1,2006,2126,1,0],[0,2021,2141,1,0],[0,2141,2261,1,0],[0,2261,2381,1,0],[0,2381,2501,1,0],[0,2501,2621,1,0],[0,2621,2741,1,0],[0,2866,2986,1,0],[0,2986,3106,1,0],[0,3106,3226,1,0],[0,3226,3346,1,0],[0,3346,3466,1,0],[0,3466,3586,1,0],[0,3679,3799,1,0],[1,3764,3884,1,0],[0,3799,3919,1,0],[1,3884,4004,1,0],[0,3919,4039,1,0],[1,4004,4124,1,0],[0,4039,4159,1,0],[1,4124,4244,1,0],[0,4159,4279,1,0],[1,4244,4364,1,0],[0,4279,4399,1,0],[1,4364,4484,1,0],[0,4483,4611,1,0],[0,4611,4739,1,0],[1,4636,4756,1,0],[0,4739,4867,1,0],[1,4756,4876,1,0],[0,4867,4995,1,0],[1,4876,4996,1,0],[1,4996,5116,1,0],[1,5116,5236,1,0],[0,5234,5362,1,0],[1,5236,5356,1,0],[1,5356,5476,1,0],[0,5362,5490,1,0],[1,5476,5596,1,0],[1,5596,5716,1,0],[1,5716,5836,1,0],[1,5836,5956,1,0],[0,5871,5991,1,0],[1,5956,6076,1,0],[0,5991,6111,1,0],[1,6076,6196,1,0],[0,6111,6231,1,0],[0,6231,6351,1,0],[0,6351,6471,1,0],[1,6424,6544,1,0],[0,6471,6591,1,0],[1,6544,6664,1,0],[1,6664,6784,1,0],[1,6784,6904,1,0],[1,6904,7024,1,0],[1,7024,7144,1,0],[1,7144,7264,1,0]],[[1,81,201,1,0],[1,201,321,1,0],[1,992,1112,1,0],[1,1112,1232,1,0],[1,1232,1352,1,0],[1,1352,1472,1,0],[1,1472,1592,1,0],[1,1592,1712,1,0],[1,1712,1832,1,0],[1,1832,1952,1,0],[1,1952,2072,1,0],[1,2072,2192,1,0],[1,2192,2312,1,0],[1,2312,2432,1,0],[1,2432,2552,1,0],[1,2552,2672,1,0],[1,2672,2792,1,0],[1,2792,2912,1,0],[1,3579,3699,1,0],[1,3699,3819,1,0],[1,3819,3939,1,0],[1,3939,4059,1,0],[1,4059,4179,1,0],[1,4179,4299,1,0],[1,4299,4419,1,0],[1,5293,5413,1,0],[1,5413,5533,1,0],[1,5533,5653,1,0],[1,5653,5773,1,0],[1,5773,5893,1,0],[1,5893,6013,1,0],[1,6013,6133,1,0],[1,6133,6253,1,0],[1,6253,6373,1,0],[1,6373,6493,1,0],[1,6493,6613,1,0],[1,6613,6733,1,0],[1,6733,6853,1,0],[1,6853,6973,1,0],[1,6973,7093,1,0],[1,7093,7213,1,0],[1,8956,9076,1,0],[1,9076,9196,1,0],[1,9196,9316,1,0],[1,9316,9436,1,0],[1,9436,9556,1,0]],[[1,81,201,1,0],[1,201,321,1,0],[1,379,499,1,0],[1,499,619,1,0],[1,619,739,1,0],[1,739,859,1,0],[1,859,979,1,0],[1,1636,1756,1,0],[1,1756,1876,1,0],[1,1876,1996,1,0],[1,1996,2116,1,0],[1,2116,2236,1,0],[1,2236,2356,1,0],[1,2356,2476,1,0],[1,2476,2596,1,0],[1,2596,2716,1,0],[1,2716,2836,1,0],[1,2836,2956,1,0],[1,2956,3076,1,0],[1,3076,3196,1,0],[1,3196,3316,1,0],[1,3316,3436,1,0],[1,3436,3556,1,0],[1,3556,3676,1,0],[1,3676,3796,1,0],[1,3796,3916,1,0],[1,3916,4036,1,0],[1,4036,4156,1,0],[1,4886,5006,1,0],[1,5006,5126,1,0],[1,5126,5246,1,0],[1,5246,5366,1,0],[1,5366,5486,1,0],[1,5486,5606,1,0],[1,5606,5726,1,0],[1,5726,5846,1,0],[1,5846,5966,1,0],[1,5966,6086,1,0],[1,6968,7088,1,0],[1,7534,7654,1,0],[1,7654,7774,1,0],[1,7774,7894,1,0],[1,7894,8014,1,0],[1,8014,8134,1,0],[1,8134,8254,1,0],[1,8254,8374,1,0]],[[1,1370,1490,1,0],[1,1490,1610,1,0],[1,1610,1730,1,0],[1,1730,1850,1,0],[1,1850,1970,1,0],[1,1970,2090,1,0],[1,2215,2335,1,0],[1,2335,2455,1,0],[1,2455,2575,1,0],[1,2575,2695,1,0],[1,2695,2815,1,0],[1,2815,2935,1,0],[1,3504,3624,1,0],[1,3624,3744,1,0],[1,3744,3864,1,0],[1,3864,3984,1,0],[1,3984,4104,1,0],[1,4104,4224,1,0],[1,4931,5051,1,0],[1,5051,5171,1,0],[1,5171,5291,1,0],[1,5291,5411,1,0],[1,5411,5531,1,0],[1,5531,5651,1,0],[1,5651,5771,1,0],[1,5771,5891,1,0],[1,5891,6011,1,0],[1,6011,6131,1,0],[1,6131,6251,1,0],[1,6251,6371,1,0],[1,6371,6491,1,0],[1,6491,6611,1,0],[1,6611,6731,1,0],[1,6731,6851,1,0],[1,6851,6971,1,0],[1,6971,7091,1,0],[1,7091,7211,1,0],[1,7211,7331,1,0],[1,7682,7802,1,0],[1,7936,8056,1,0],[1,8056,8176,1,0],[1,8176,8296,1,0],[1,8296,8416,1,0],[1,8416,8536,1,0],[1,8536,8656,1,0],[1,8656,8776,1,0]],[[1,81,201,1,0],[1,201,321,1,0],[1,380,500,1,0],[1,500,620,1,0],[1,620,740,1,0],[1,740,860,1,0],[1,860,980,1,0],[1,1637,1757,1,0],[1,1757,1877,1,0],[1,1877,1997,1,0],[1,1997,2117,1,0],[1,2117,2237,1,0],[1,2237,2357,1,0],[1,2357,2477,1,0],[1,2477,2597,1,0],[1,2597,2717,1,0],[1,2717,2837,1,0],[1,2837,2957,1,0],[1,2957,3077,1,0],[1,3077,3197,1,0],[1,3197,3317,1,0],[1,3317,3437,1,0],[1,3437,3557,1,0],[1,3557,3677,1,0],[1,3677,3797,1,0],[1,3797,3917,1,0],[1,3917,4037,1,0],[1,4037,4157,1,0],[1,4887,5007,1,0],[1,5007,5127,1,0],[1,5127,5247,1,0],[1,5247,5367,1,0],[1,5367,5487,1,0],[1,5487,5607,1,0],[1,5607,5727,1,0],[1,5727,5847,1,0],[1,5847,5967,1,0],[1,5967,6087,1,0],[1,6969,7089,1,0],[1,7330,7450,1,0],[1,7450,7570,1,0],[1,7797,7917,1,0],[1,7917,8037,1,0],[1,8037,8157,1,0],[1,8157,8277,1,0],[1,8277,8397,1,0]],[[1,1369,1489,1,0],[1,1489,1609,1,0],[1,1609,1729,1,0],[1,1729,1849,1,0],[1,1849,1969,1,0],[1,1969,2089,1,0],[1,2214,2334,1,0],[1,2334,2454,1,0],[1,2454,2574,1,0],[1,2574,2694,1,0],[1,2694,2814,1,0],[1,2814,2934,1,0],[1,2934,3054,1,0],[1,3054,3174,1,0],[1,3174,3294,1,0],[1,3294,3414,1,0],[1,3414,3534,1,0],[1,3534,3654,1,0],[1,3654,3774,1,0],[1,3774,3894,1,0],[1,5337,5457,1,0],[1,5457,5577,1,0],[1,5577,5697,1,0],[1,5697,5817,1,0],[1,5817,5937,1,0],[1,6177,6297,1,0],[1,6297,6417,1,0],[1,6417,6537,1,0],[1,6537,6657,1,0],[1,6657,6777,1,0],[1,6777,6897,1,0],[1,6897,7017,1,0],[1,7017,7137,1,0],[1,7137,7257,1,0],[1,7257,7377,1,0],[1,7377,7497,1,0],[1,7497,7617,1,0],[1,7617,7737,1,0],[1,7737,7857,1,0],[1,7857,7977,1,0],[1,9204,9324,1,0],[1,9324,9444,1,0],[1,9444,9564,1,0],[1,9564,9684,1,0],[1,9684,9804,1,0],[1,9804,9924,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[1,211,339,1,0],[0,279,407,1,0],[1,339,467,1,0],[0,407,535,1,0],[1,467,595,1,0],[0,535,663,1,0],[1,595,723,1,0],[0,663,791,1,0],[0,791,919,1,0],[1,919,1047,1,0],[1,1047,1175,1,0],[0,1158,1286,1,0],[1,1175,1303,1,0],[0,1286,1414,1,0],[1,1303,1431,1,0],[0,1414,1542,1,0],[1,1431,1559,1,0],[0,1542,1670,1,0],[1,1559,1687,1,0],[0,1670,1798,1,0],[1,1687,1815,1,0],[0,1798,1926,1,0],[0,1926,2054,1,0],[1,2054,2182,1,0],[0,2153,2281,1,0],[1,2182,2310,1,0],[0,2281,2409,1,0],[1,2310,2438,1,0],[0,2409,2537,1,0],[1,2438,2566,1,0],[0,2537,2665,1,0],[1,2566,2694,1,0],[0,2665,2793,1,0],[1,2694,2822,1,0],[0,2793,2921,1,0],[0,2921,3049,1,0],[1,3049,3177,1,0],[0,3049,3177,1,0],[1,3177,3305,1,0],[0,3177,3305,1,0],[1,3305,3433,1,0],[0,3305,3433,1,0],[0,3433,3561,1,0],[1,3560,3688,1,0],[0,3561,3689,1,0],[0,3689,3817,1,0],[0,3817,3945,1,0],[1,3945,4073,1,0],[0,4012,4140,1,0],[1,4073,4201,1,0],[0,4140,4268,1,0],[1,4201,4329,1,0],[0,4268,4396,1,0],[1,4329,4457,1,0],[0,4396,4524,1,0],[1,4457,4585,1,0],[0,4524,4652,1,0],[1,4585,4713,1,0],[0,4652,4780,1,0],[1,4713,4841,1,0],[1,4841,4969,1,0],[1,4969,5097,1,0],[0,5021,5149,1,0],[1,5097,5225,1,0],[0,5149,5277,1,0],[1,5225,5353,1,0],[0,5358,5486,1,0],[1,5486,5614,1,0],[0,5486,5614,1,0],[1,5614,5742,1,0],[0,5614,5742,1,0],[1,5742,5870,1,0],[0,5742,5870,1,0],[1,5870,5998,1,0],[0,5870,5998,1,0],[1,5998,6126,1,0],[1,6126,6254,1,0],[0,6259,6387,1,0],[0,6913,6993,1,0],[0,6993,7073,1,0],[0,7073,7153,1,0],[0,7153,7233,1,0],[0,7233,7313,1,0],[0,7313,7393,1,0],[0,7393,7473,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[1,211,339,1,0],[0,279,407,1,0],[1,339,467,1,0],[0,407,535,1,0],[1,467,595,1,0],[0,535,663,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,865,993,1,0],[0,993,1121,1,0],[0,1121,1249,1,0],[1,1218,1346,1,0],[0,1249,1377,1,0],[1,1346,1474,1,0],[0,1377,1505,1,0],[1,1474,1602,1,0],[0,1505,1633,1,0],[1,1602,1730,1,0],[0,1633,1761,1,0],[1,1730,1858,1,0],[0,1761,1889,1,0],[0,1889,2017,1,0],[1,2017,2145,1,0],[1,2145,2273,1,0],[0,2230,2358,1,0],[1,2308,2436,1,0],[0,2358,2486,1,0],[1,2436,2564,1,0],[0,2486,2614,1,0],[1,2564,2692,1,0],[0,2614,2742,1,0],[1,2692,2820,1,0],[0,2742,2870,1,0],[1,2820,2948,1,0],[0,2870,2998,1,0],[0,2998,3126,1,0],[1,3126,3254,1,0],[0,3126,3254,1,0],[1,3254,3382,1,0],[0,3254,3382,1,0],[0,3382,3510,1,0],[1,3384,3512,1,0],[0,3510,3638,1,0],[1,3512,3640,1,0],[0,3638,3766,1,0],[1,3640,3768,1,0],[0,3766,3894,1,0],[0,3894,4022,1,0],[1,4022,4150,1,0],[0,4022,4150,1,0],[1,4150,4278,1,0],[0,4150,4278,1,0],[1,4278,4406,1,0],[0,4278,4406,1,0],[0,4406,4534,1,0],[0,4534,4662,1,0],[1,4587,4715,1,0],[0,4662,4790,1,0],[1,4715,4843,1,0],[1,4843,4971,1,0],[1,4971,5099,1,0],[1,5099,5227,1,0],[1,5227,5355,1,0],[0,5360,5488,1,0],[0,5936,6016,1,0],[0,6016,6096,1,0],[0,6096,6176,1,0],[0,6176,6256,1,0],[0,6256,6336,1,0],[1,6260,6388,1,0],[0,6336,6416,1,0],[0,6416,6496,1,0],[1,6496,6624,1,0],[0,6496,6624,1,0],[1,6624,6752,1,0],[0,6624,6752,1,0],[1,6752,6880,1,0],[0,6752,6880,1,0],[1,6880,7008,1,0],[0,6880,7008,1,0],[1,7008,7136,1,0],[0,7008,7136,1,0],[0,7136,7264,1,0],[0,7264,7392,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[0,664,792,1,0],[0,792,920,1,0],[1,920,1048,1,0],[1,1048,1176,1,0],[0,1157,1285,1,0],[1,1176,1304,1,0],[0,1285,1413,1,0],[1,1304,1432,1,0],[0,1413,1541,1,0],[1,1432,1560,1,0],[0,1541,1669,1,0],[1,1560,1688,1,0],[0,1669,1797,1,0],[1,1688,1816,1,0],[0,1797,1925,1,0],[0,1925,2053,1,0],[1,2053,2181,1,0],[0,2153,2281,1,0],[1,2181,2309,1,0],[0,2281,2409,1,0],[1,2309,2437,1,0],[0,2409,2537,1,0],[1,2437,2565,1,0],[0,2537,2665,1,0],[1,2565,2693,1,0],[0,2665,2793,1,0],[1,2693,2821,1,0],[0,2793,2921,1,0],[0,2921,3049,1,0],[1,3049,3177,1,0],[0,3049,3177,1,0],[1,3177,3305,1,0],[0,3177,3305,1,0],[1,3305,3433,1,0],[0,3305,3433,1,0],[0,3433,3561,1,0],[1,3558,3686,1,0],[0,3561,3689,1,0],[0,3689,3817,1,0],[0,3817,3945,1,0],[1,3945,4073,1,0],[0,3945,4073,1,0],[1,4073,4201,1,0],[0,4073,4201,1,0],[1,4201,4329,1,0],[0,4201,4329,1,0],[1,4329,4457,1,0],[0,4329,4457,1,0],[1,4457,4585,1,0],[0,4457,4585,1,0],[1,4585,4713,1,0],[0,4585,4713,1,0],[1,4713,4841,1,0],[1,4841,4969,1,0],[1,4969,5097,1,0],[0,5017,5145,1,0],[1,5097,5225,1,0],[0,5145,5273,1,0],[1,5225,5353,1,0],[0,5358,5486,1,0],[1,5486,5614,1,0],[0,5486,5614,1,0],[1,5614,5742,1,0],[0,5614,5742,1,0],[1,5742,5870,1,0],[0,5742,5870,1,0],[1,5870,5998,1,0],[0,5870,5998,1,0],[1,5998,6126,1,0],[1,6126,6254,1,0],[0,6259,6387,1,0],[0,6784,6864,1,0],[0,6864,6944,1,0],[0,6944,7024,1,0],[0,7204,7284,1,0],[0,7284,7364,1,0],[0,7364,7444,1,0],[0,7444,7524,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,867,995,1,0],[0,995,1123,1,0],[0,1123,1251,1,0],[1,1217,1345,1,0],[0,1251,1379,1,0],[1,1345,1473,1,0],[0,1379,1507,1,0],[1,1473,1601,1,0],[0,1507,1635,1,0],[1,1601,1729,1,0],[0,1635,1763,1,0],[1,1729,1857,1,0],[0,1763,1891,1,0],[0,1891,2019,1,0],[1,2019,2147,1,0],[1,2147,2275,1,0],[0,2228,2356,1,0],[1,2308,2436,1,0],[0,2356,2484,1,0],[1,2436,2564,1,0],[0,2484,2612,1,0],[1,2564,2692,1,0],[0,2612,2740,1,0],[1,2692,2820,1,0],[0,2740,2868,1,0],[1,2820,2948,1,0],[0,2868,2996,1,0],[0,2996,3124,1,0],[1,3124,3252,1,0],[0,3124,3252,1,0],[1,3252,3380,1,0],[0,3252,3380,1,0],[0,3380,3508,1,0],[1,3382,3510,1,0],[0,3508,3636,1,0],[1,3510,3638,1,0],[0,3636,3764,1,0],[1,3638,3766,1,0],[0,3764,3892,1,0],[0,3892,4020,1,0],[1,4020,4148,1,0],[0,4020,4148,1,0],[1,4148,4276,1,0],[0,4148,4276,1,0],[1,4276,4404,1,0],[0,4276,4404,1,0],[0,4404,4532,1,0],[0,4532,4660,1,0],[1,4589,4717,1,0],[0,4660,4788,1,0],[1,4717,4845,1,0],[1,4845,4973,1,0],[1,4973,5101,1,0],[1,5101,5229,1,0],[1,5229,5357,1,0],[0,5362,5490,1,0],[0,5937,6017,1,0],[0,6017,6097,1,0],[0,6097,6177,1,0],[0,6177,6257,1,0],[0,6257,6337,1,0],[1,6261,6389,1,0],[0,6337,6417,1,0],[0,6417,6497,1,0],[1,6497,6625,1,0],[0,6497,6625,1,0],[1,6625,6753,1,0],[0,6625,6753,1,0],[1,6753,6881,1,0],[0,6753,6881,1,0],[1,6881,7009,1,0],[0,6881,7009,1,0],[1,7009,7137,1,0],[0,7009,7137,1,0],[0,7137,7265,1,0],[0,7265,7393,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,258,386,1,0],[1,339,467,1,0],[0,386,514,1,0],[1,467,595,1,0],[0,514,642,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,901,1029,1,0],[0,1029,1157,1,0],[0,1157,1285,1,0],[1,1174,1302,1,0],[0,1285,1413,1,0],[1,1302,1430,1,0],[0,1413,1541,1,0],[1,1430,1558,1,0],[0,1541,1669,1,0],[1,1558,1686,1,0],[0,1669,1797,1,0],[1,1686,1814,1,0],[1,1814,1942,1,0],[1,1942,2070,1,0],[0,1960,2088,1,0],[0,2088,2216,1,0],[1,2216,2344,1,0],[0,2251,2379,1,0],[1,2344,2472,1,0],[0,2379,2507,1,0],[1,2472,2600,1,0],[0,2507,2635,1,0],[1,2600,2728,1,0],[0,2635,2763,1,0],[1,2728,2856,1,0],[1,2856,2984,1,0],[1,2984,3112,1,0],[0,2998,3126,1,0],[1,3112,3240,1,0],[0,3126,3254,1,0],[0,3254,3382,1,0],[0,3382,3462,1,0],[0,3462,3542,1,0],[0,3542,3622,1,0],[0,3622,3702,1,0],[0,3702,3782,1,0],[0,3782,3862,1,0],[0,3862,3942,1,0],[1,3942,4070,1,0],[0,4091,4219,1,0],[0,4219,4347,1,0],[0,4347,4475,1,0],[1,4375,4503,1,0],[0,4475,4603,1,0],[1,4503,4631,1,0],[0,4603,4731,1,0],[1,4631,4759,1,0],[0,4731,4859,1,0],[1,4759,4887,1,0],[0,4892,5020,1,0],[1,5226,5354,1,0],[1,5354,5482,1,0],[0,5367,5495,1,0],[1,5482,5610,1,0],[0,5495,5623,1,0],[1,5610,5738,1,0],[0,5623,5751,1,0],[1,5738,5866,1,0],[0,5751,5879,1,0],[1,5866,5994,1,0],[0,5879,6007,1,0],[1,5994,6122,1,0],[0,6007,6135,1,0],[0,6135,6263,1,0],[1,6263,6391,1,0],[0,6263,6391,1,0],[1,6391,6519,1,0],[0,6391,6519,1,0],[1,6519,6647,1,0],[0,6519,6647,1,0],[1,6647,6775,1,0],[0,6647,6775,1,0],[1,6775,6903,1,0],[0,6775,6903,1,0],[0,6903,7031,1,0],[0,7031,7159,1,0]],[[0,4,132,1,0],[1,83,211,1,0],[0,132,260,1,0],[1,211,339,1,0],[0,260,388,1,0],[1,339,467,1,0],[0,388,516,1,0],[1,467,595,1,0],[0,516,644,1,0],[1,595,723,1,0],[0,644,772,1,0],[1,723,851,1,0],[0,772,900,1,0],[1,851,979,1,0],[0,900,1028,1,0],[0,1028,1156,1,0],[0,1156,1284,1,0],[0,1284,1412,1,0],[0,1412,1540,1,0],[1,1520,1648,1,0],[1,1648,1776,1,0],[1,1776,1904,1,0],[1,1904,2032,1,0],[1,2032,2160,1,0],[0,2079,2159,1,0],[0,2159,2239,1,0],[0,2239,2319,1,0],[0,2319,2399,1,0],[0,2399,2479,1,0],[0,2479,2559,1,0],[1,3120,3248,1,0],[1,3248,3376,1,0],[1,3376,3504,1,0],[0,3382,3510,1,0],[1,3504,3632,1,0],[0,3510,3638,1,0],[1,3632,3760,1,0],[1,3760,3888,1,0],[1,3888,4016,1,0],[0,3894,4022,1,0],[0,4022,4150,1,0],[1,4073,4201,1,0],[0,4150,4278,1,0],[1,4201,4329,1,0],[0,4278,4406,1,0],[1,4329,4457,1,0],[0,4406,4534,1,0],[1,4457,4585,1,0],[0,4534,4662,1,0],[1,4585,4713,1,0],[0,4662,4790,1,0],[1,4713,4841,1,0],[0,4790,4918,1,0],[0,4918,5046,1,0],[0,5046,5174,1,0],[0,5174,5302,1,0],[1,5301,5429,1,0],[0,5302,5430,1,0],[1,5429,5557,1,0],[0,5430,5558,1,0],[1,5557,5685,1,0],[0,5558,5686,1,0],[1,5685,5813,1,0],[0,5686,5814,1,0],[1,5813,5941,1,0],[0,5814,5942,1,0],[1,5941,6069,1,0],[0,5942,6070,1,0],[1,6069,6197,1,0],[1,6197,6325,1,0],[0,6211,6339,1,0],[1,6325,6453,1,0],[0,6339,6467,1,0],[1,6453,6581,1,0],[0,6467,6595,1,0],[1,6581,6709,1,0],[0,6595,6723,1,0],[1,6709,6837,1,0],[0,6723,6851,1,0],[1,6837,6965,1,0],[1,6965,7093,1,0],[1,7093,7221,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,258,386,1,0],[1,339,467,1,0],[0,386,514,1,0],[1,467,595,1,0],[0,514,642,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,899,1027,1,0],[0,1027,1155,1,0],[0,1155,1283,1,0],[1,1177,1305,1,0],[0,1283,1411,1,0],[1,1305,1433,1,0],[0,1411,1539,1,0],[1,1433,1561,1,0],[0,1539,1667,1,0],[1,1561,1689,1,0],[0,1667,1795,1,0],[1,1689,1817,1,0],[1,1817,1945,1,0],[1,1945,2073,1,0],[0,1961,2089,1,0],[0,2089,2217,1,0],[1,2217,2345,1,0],[0,2252,2380,1,0],[1,2345,2473,1,0],[0,2380,2508,1,0],[1,2473,2601,1,0],[0,2508,2636,1,0],[1,2601,2729,1,0],[0,2636,2764,1,0],[1,2729,2857,1,0],[1,2857,2985,1,0],[1,2985,3113,1,0],[0,2999,3127,1,0],[1,3113,3241,1,0],[0,3127,3255,1,0],[0,3255,3383,1,0],[0,3383,3463,1,0],[0,3463,3543,1,0],[0,3543,3623,1,0],[0,3623,3703,1,0],[0,3703,3783,1,0],[0,3783,3863,1,0],[0,3863,3943,1,0],[1,3943,4071,1,0],[0,4090,4218,1,0],[0,4218,4346,1,0],[0,4346,4474,1,0],[1,4372,4500,1,0],[0,4474,4602,1,0],[1,4500,4628,1,0],[0,4602,4730,1,0],[1,4628,4756,1,0],[0,4730,4858,1,0],[1,4756,4884,1,0],[0,4889,5017,1,0],[1,5354,5482,1,0],[1,5482,5610,1,0],[0,5495,5623,1,0],[1,5610,5738,1,0],[0,5623,5751,1,0],[1,5738,5866,1,0],[0,5751,5879,1,0],[1,5866,5994,1,0],[0,5879,6007,1,0],[1,5994,6122,1,0],[0,6007,6135,1,0],[1,6122,6250,1,0],[0,6135,6263,1,0],[0,6263,6391,1,0],[1,6391,6519,1,0],[0,6391,6519,1,0],[1,6519,6647,1,0],[0,6519,6647,1,0],[1,6647,6775,1,0],[0,6647,6775,1,0],[1,6775,6903,1,0],[0,6775,6903,1,0],[1,6903,7031,1,0],[0,6903,7031,1,0],[0,7031,7159,1,0],[0,7159,7287,1,0]],[[0,3,131,1,0],[1,84,212,1,0],[0,131,259,1,0],[1,212,340,1,0],[0,259,387,1,0],[1,340,468,1,0],[0,387,515,1,0],[1,468,596,1,0],[0,515,643,1,0],[1,596,724,1,0],[0,643,771,1,0],[1,724,852,1,0],[0,771,899,1,0],[1,852,980,1,0],[0,899,1027,1,0],[0,1027,1155,1,0],[0,1155,1283,1,0],[0,1283,1411,1,0],[0,1411,1539,1,0],[1,1523,1651,1,0],[1,1651,1779,1,0],[1,1779,1907,1,0],[1,1907,2035,1,0],[1,2035,2163,1,0],[0,2082,2162,1,0],[0,2162,2242,1,0],[0,2242,2322,1,0],[0,2322,2402,1,0],[0,2402,2482,1,0],[0,2482,2562,1,0],[1,3119,3247,1,0],[1,3247,3375,1,0],[1,3375,3503,1,0],[0,3383,3511,1,0],[1,3503,3631,1,0],[0,3511,3639,1,0],[1,3631,3759,1,0],[1,3759,3887,1,0],[1,3887,4015,1,0],[0,3895,4023,1,0],[0,4023,4151,1,0],[1,4073,4201,1,0],[0,4151,4279,1,0],[1,4201,4329,1,0],[0,4279,4407,1,0],[1,4329,4457,1,0],[0,4407,4535,1,0],[1,4457,4585,1,0],[0,4535,4663,1,0],[1,4585,4713,1,0],[0,4663,4791,1,0],[1,4713,4841,1,0],[0,4791,4919,1,0],[0,4919,5047,1,0],[0,5047,5175,1,0],[0,5175,5303,1,0],[1,5302,5430,1,0],[0,5303,5431,1,0],[1,5430,5558,1,0],[0,5431,5559,1,0],[1,5558,5686,1,0],[0,5559,5687,1,0],[1,5686,5814,1,0],[0,5687,5815,1,0],[1,5814,5942,1,0],[0,5815,5943,1,0],[1,5942,6070,1,0],[0,5943,6071,1,0],[1,6070,6198,1,0],[1,6198,6326,1,0],[0,6212,6340,1,0],[1,6326,6454,1,0],[0,6340,6468,1,0],[1,6454,6582,1,0],[0,6468,6596,1,0],[1,6582,6710,1,0],[0,6596,6724,1,0],[1,6710,6838,1,0],[0,6724,6852,1,0],[1,6838,6966,1,0],[1,6966,7094,1,0],[1,7094,7222,1,0]],[[0,359,439,1,0],[0,439,519,1,0],[0,519,599,1,0],[0,599,679,1,0],[1,819,947,1,0],[0,846,926,1,0],[0,926,1006,1,0],[1,947,1075,1,0],[0,1006,1134,1,0],[1,1075,1203,1,0],[0,1134,1262,1,0],[1,1203,1331,1,0],[0,1262,1390,1,0],[1,1331,1459,1,0],[0,1390,1518,1,0],[1,1459,1587,1,0],[0,1518,1646,1,0],[1,1587,1715,1,0],[0,1646,1774,1,0],[1,1715,1843,1,0],[0,1774,1902,1,0],[1,1843,1971,1,0],[0,1902,2030,1,0],[1,1971,2099,1,0],[0,2030,2158,1,0],[1,2099,2227,1,0],[0,2158,2286,1,0],[1,2227,2355,1,0],[0,2286,2414,1,0],[0,2414,2542,1,0],[0,2935,3063,1,0],[1,2945,3073,1,0],[0,3063,3191,1,0],[0,3275,3403,1,0],[1,3367,3495,1,0],[0,3403,3531,1,0],[1,3495,3623,1,0],[0,3531,3659,1,0],[1,3623,3751,1,0],[0,3659,3787,1,0],[1,3751,3879,1,0],[0,3787,3915,1,0],[1,3879,4007,1,0],[1,4007,4135,1,0],[0,4041,4169,1,0],[0,4169,4297,1,0],[1,4197,4325,1,0],[0,4297,4425,1,0],[1,4325,4453,1,0],[0,4425,4553,1,0],[1,4453,4581,1,0],[0,4553,4681,1,0],[1,4581,4709,1,0],[1,4709,4837,1,0],[1,4837,4965,1,0],[1,4965,5093,1,0],[1,5093,5221,1,0],[0,5314,5442,1,0],[1,5436,5564,1,0],[0,5442,5570,1,0],[1,5564,5692,1,0],[0,5570,5698,1,0],[1,5692,5820,1,0],[0,5698,5826,1,0],[1,5820,5948,1,0],[0,5826,5954,1,0],[1,5948,6076,1,0],[0,5954,6082,1,0],[0,6082,6210,1,0],[1,6209,6337,1,0],[0,6210,6338,1,0],[1,6337,6465,1,0],[0,6338,6466,1,0],[0,6555,6683,1,0],[1,6681,6809,1,0],[0,6683,6811,1,0],[1,6809,6937,1,0],[0,6811,6939,1,0],[1,6937,7065,1,0],[1,7065,7193,1,0],[1,7193,7321,1,0],[1,7321,7449,1,0]],[[0,4,132,1,0],[1,83,131,1,0],[1,131,179,1,0],[0,132,260,1,0],[1,179,227,1,0],[1,227,275,1,0],[0,260,388,1,0],[1,275,323,1,0],[1,323,371,1,0],[1,371,419,1,0],[0,388,516,1,0],[1,419,499,1,0],[1,499,579,1,0],[0,516,644,1,0],[1,579,659,1,0],[0,644,772,1,0],[1,659,739,1,0],[0,772,900,1,0],[1,900,980,1,0],[1,980,1060,1,0],[1,1060,1140,1,0],[0,1122,1250,1,0],[1,1140,1220,1,0],[1,1220,1300,1,0],[0,1250,1378,1,0],[1,1300,1380,1,0],[1,1380,1460,1,0],[0,1381,1509,1,0],[1,1460,1540,1,0],[0,1509,1637,1,0],[1,1593,1673,1,0],[0,1637,1765,1,0],[1,1673,1753,1,0],[1,1753,1833,1,0],[0,1765,1893,1,0],[0,1893,2021,1,0],[1,2021,2101,1,0],[0,2088,2216,1,0],[1,2101,2181,1,0],[1,2181,2261,1,0],[0,2216,2344,1,0],[0,2344,2472,1,0],[0,2472,2600,1,0],[0,2600,2728,1,0],[1,2720,2768,1,0],[0,2728,2856,1,0],[1,2768,2816,1,0],[0,2856,2984,1,0],[1,2984,3032,1,0],[0,2985,3113,1,0],[1,3032,3080,1,0],[1,3080,3128,1,0],[0,3113,3241,1,0],[1,3128,3176,1,0],[0,3241,3369,1,0],[0,3369,3497,1,0],[1,3456,3536,1,0],[0,3497,3625,1,0],[1,3536,3616,1,0],[1,3616,3696,1,0],[0,3625,3753,1,0],[0,3753,3881,1,0],[1,3881,3961,1,0],[1,3961,4041,1,0],[0,3969,4097,1,0],[1,4041,4121,1,0],[0,4097,4225,1,0],[1,4121,4201,1,0],[1,4214,4262,1,0],[0,4225,4353,1,0],[1,4262,4310,1,0],[1,4310,4358,1,0],[0,4353,4481,1,0],[1,4358,4406,1,0],[1,4406,4454,1,0],[1,4454,4502,1,0],[0,4481,4609,1,0],[1,4502,4550,1,0],[1,4550,4630,1,0],[0,4609,4737,1,0],[1,4630,4710,1,0],[0,4737,4865,1,0],[1,4865,4945,1,0],[0,4918,5046,1,0],[1,4945,5025,1,0],[1,5025,5105,1,0],[1,5105,5185,1,0],[1,5185,5265,1,0],[1,5265,5313,1,0],[1,5313,5361,1,0],[1,5361,5409,1,0],[1,5409,5457,1,0],[1,5457,5505,1,0],[1,5505,5553,1,0],[1,5553,5601,1,0],[1,5601,5649,1,0],[0,5623,5751,1,0],[1,5649,5697,1,0],[1,5697,5745,1,0],[1,5745,5793,1,0],[0,5751,5879,1,0],[1,5793,5841,1,0],[1,5863,5911,1,0],[0,5879,6007,1,0],[1,5911,5991,1,0],[1,5991,6071,1,0],[0,6007,6135,1,0],[1,6071,6151,1,0],[0,6135,6263,1,0],[1,6151,6231,1,0],[0,6263,6391,1,0],[1,6391,6471,1,0],[0,6392,6520,1,0],[1,6471,6551,1,0],[0,6520,6648,1,0],[1,6551,6631,1,0],[1,6631,6679,1,0],[0,6648,6776,1,0],[1,6679,6727,1,0],[1,6727,6775,1,0],[1,6775,6823,1,0],[0,6776,6904,1,0],[1,6823,6871,1,0],[1,6871,6919,1,0],[0,6904,7032,1,0],[1,6919,6999,1,0],[1,6999,7079,1,0],[0,7032,7160,1,0],[0,7160,7288,1,0],[1,7288,7368,1,0],[1,7368,7448,1,0],[0,7419,7451,1,0],[1,7448,7528,1,0],[0,7451,7483,1,0],[0,7483,7515,1,0],[0,7515,7547,1,0],[1,7528,7608,1,0],[0,7547,7579,1,0],[0,7579,7611,1,0],[1,7608,7688,1,0],[0,7820,7852,1,0]],[[0,360,440,1,0],[0,440,520,1,0],[0,520,600,1,0],[0,600,680,1,0],[1,820,948,1,0],[0,846,926,1,0],[0,926,1006,1,0],[1,948,1076,1,0],[0,1006,1134,1,0],[1,1076,1204,1,0],[0,1134,1262,1,0],[1,1204,1332,1,0],[0,1262,1390,1,0],[1,1332,1460,1,0],[0,1390,1518,1,0],[1,1460,1588,1,0],[0,1518,1646,1,0],[1,1588,1716,1,0],[0,1646,1774,1,0],[1,1716,1844,1,0],[0,1774,1902,1,0],[1,1844,1972,1,0],[0,1902,2030,1,0],[1,1972,2100,1,0],[0,2030,2158,1,0],[1,2100,2228,1,0],[0,2158,2286,1,0],[1,2228,2356,1,0],[0,2286,2414,1,0],[0,2414,2542,1,0],[0,2936,3064,1,0],[1,2944,3072,1,0],[0,3064,3192,1,0],[0,3272,3400,1,0],[1,3366,3494,1,0],[0,3400,3528,1,0],[1,3494,3622,1,0],[0,3528,3656,1,0],[1,3622,3750,1,0],[0,3656,3784,1,0],[1,3750,3878,1,0],[1,3878,4006,1,0],[0,3902,4030,1,0],[1,4006,4134,1,0],[0,4038,4166,1,0],[1,4134,4262,1,0],[0,4166,4294,1,0],[1,4262,4390,1,0],[0,4294,4422,1,0],[1,4390,4518,1,0],[0,4422,4550,1,0],[1,4518,4646,1,0],[0,4550,4678,1,0],[1,4646,4774,1,0],[1,4774,4902,1,0],[1,4902,5030,1,0],[1,5030,5158,1,0],[1,5158,5286,1,0],[0,5314,5442,1,0],[0,5442,5570,1,0],[0,5570,5698,1,0],[0,5698,5826,1,0],[0,5826,5954,1,0],[0,5954,6082,1,0],[1,6082,6210,1,0],[1,6210,6338,1,0],[1,6338,6466,1,0],[1,6466,6594,1,0],[1,6594,6722,1,0],[0,6727,6855,1,0],[0,6855,6983,1,0],[0,6983,7111,1,0],[0,7111,7239,1,0],[0,7239,7367,1,0],[0,7367,7495,1,0],[1,7495,7623,1,0],[1,7623,7751,1,0],[1,7751,7879,1,0],[1,7879,8007,1,0],[1,8007,8135,1,0],[1,8135,8263,1,0],[1,8263,8391,1,0]],[[0,3,131,1,0],[1,84,132,1,0],[0,131,259,1,0],[1,133,181,1,0],[1,181,229,1,0],[1,229,277,1,0],[0,259,387,1,0],[1,277,325,1,0],[1,325,373,1,0],[1,373,421,1,0],[0,387,515,1,0],[1,421,501,1,0],[1,501,581,1,0],[0,515,643,1,0],[1,581,661,1,0],[0,643,771,1,0],[1,661,741,1,0],[0,771,899,1,0],[1,899,979,1,0],[1,979,1059,1,0],[1,1059,1139,1,0],[0,1122,1250,1,0],[1,1139,1219,1,0],[1,1219,1299,1,0],[0,1250,1378,1,0],[1,1299,1379,1,0],[1,1379,1459,1,0],[0,1380,1508,1,0],[1,1459,1539,1,0],[0,1508,1636,1,0],[1,1592,1672,1,0],[0,1636,1764,1,0],[1,1673,1753,1,0],[1,1753,1833,1,0],[0,1764,1892,1,0],[0,1892,2020,1,0],[1,2020,2100,1,0],[0,2091,2219,1,0],[1,2100,2180,1,0],[1,2180,2260,1,0],[0,2219,2347,1,0],[0,2347,2475,1,0],[0,2475,2603,1,0],[0,2603,2731,1,0],[1,2720,2768,1,0],[0,2731,2859,1,0],[1,2768,2816,1,0],[0,2859,2987,1,0],[1,2987,3035,1,0],[0,2988,3116,1,0],[1,3035,3083,1,0],[1,3083,3131,1,0],[0,3116,3244,1,0],[1,3131,3179,1,0],[0,3244,3372,1,0],[0,3372,3500,1,0],[1,3456,3536,1,0],[0,3500,3628,1,0],[1,3536,3616,1,0],[1,3616,3696,1,0],[0,3628,3756,1,0],[0,3756,3884,1,0],[1,3884,3964,1,0],[1,3964,4044,1,0],[0,3967,4095,1,0],[1,4044,4124,1,0],[0,4095,4223,1,0],[1,4124,4204,1,0],[1,4213,4261,1,0],[0,4223,4351,1,0],[1,4261,4309,1,0],[1,4309,4357,1,0],[0,4351,4479,1,0],[1,4357,4405,1,0],[1,4405,4453,1,0],[1,4453,4501,1,0],[0,4479,4607,1,0],[1,4501,4549,1,0],[1,4549,4629,1,0],[0,4607,4735,1,0],[1,4629,4709,1,0],[0,4735,4863,1,0],[1,4863,4943,1,0],[1,4943,5023,1,0],[1,5023,5103,1,0],[1,5103,5183,1,0],[1,5183,5263,1,0],[1,5263,5311,1,0],[1,5311,5359,1,0],[1,5359,5407,1,0],[1,5407,5455,1,0],[1,5455,5503,1,0],[1,5503,5551,1,0],[1,5551,5599,1,0],[1,5599,5647,1,0],[0,5621,5749,1,0],[1,5647,5695,1,0],[1,5695,5743,1,0],[1,5743,5791,1,0],[0,5749,5877,1,0],[1,5791,5839,1,0],[1,5862,5910,1,0],[0,5877,6005,1,0],[1,5910,5990,1,0],[1,5990,6070,1,0],[0,6005,6133,1,0],[1,6070,6150,1,0],[0,6133,6261,1,0],[1,6150,6230,1,0],[1,6230,6310,1,0],[0,6261,6389,1,0],[0,6389,6517,1,0],[1,6517,6597,1,0],[0,6518,6646,1,0],[1,6597,6677,1,0],[0,6646,6774,1,0],[1,6677,6725,1,0],[1,6725,6773,1,0],[1,6773,6821,1,0],[0,6774,6902,1,0],[1,6821,6869,1,0],[1,6869,6917,1,0],[0,6902,7030,1,0],[1,6917,6965,1,0],[1,6965,7045,1,0],[0,7030,7158,1,0],[1,7045,7125,1,0],[1,7125,7205,1,0],[0,7158,7286,1,0],[0,7286,7414,1,0],[1,7414,7494,1,0],[1,7494,7574,1,0],[0,7545,7577,1,0],[1,7574,7654,1,0],[0,7577,7609,1,0],[0,7609,7641,1,0],[0,7641,7673,1,0],[1,7654,7734,1,0],[0,7819,7851,1,0],[0,7851,7883,1,0],[0,7883,7915,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[1,211,339,1,0],[0,279,407,1,0],[1,339,467,1,0],[0,407,535,1,0],[1,467,595,1,0],[0,535,663,1,0],[1,595,723,1,0],[0,663,791,1,0],[0,791,919,1,0],[1,919,1047,1,0],[0,948,1076,1,0],[1,1047,1175,1,0],[1,1175,1303,1,0],[1,1303,1431,1,0],[0,1330,1458,1,0],[1,1431,1559,1,0],[0,1458,1586,1,0],[1,1561,1689,1,0],[0,1586,1714,1,0],[1,1689,1817,1,0],[0,1714,1842,1,0],[1,1817,1945,1,0],[0,1842,1970,1,0],[0,2007,2135,1,0],[1,2045,2173,1,0],[0,2178,2306,1,0],[0,2306,2434,1,0],[1,2308,2436,1,0],[0,2434,2562,1,0],[1,2436,2564,1,0],[0,2562,2690,1,0],[1,2564,2692,1,0],[0,2690,2818,1,0],[1,2692,2820,1,0],[0,2818,2946,1,0],[0,2946,3074,1,0],[1,3074,3202,1,0],[0,3074,3106,1,0],[0,3106,3138,1,0],[0,3138,3170,1,0],[0,3170,3202,1,0],[1,3202,3330,1,0],[0,3202,3234,1,0],[0,3234,3266,1,0],[1,3330,3458,1,0],[1,3458,3586,1,0],[1,3586,3714,1,0],[1,3714,3842,1,0],[1,3842,3970,1,0],[0,3913,4041,1,0],[1,3970,4098,1,0],[0,4103,4135,1,0],[0,4135,4183,1,0],[1,4139,4267,1,0],[0,4183,4231,1,0],[0,4231,4279,1,0],[1,4267,4395,1,0],[0,4279,4327,1,0],[0,4327,4375,1,0],[0,4375,4423,1,0],[0,4423,4471,1,0],[1,4471,4599,1,0],[0,4471,4599,1,0],[1,4599,4727,1,0],[0,4599,4727,1,0],[1,4727,4855,1,0],[0,4727,4855,1,0],[1,4855,4983,1,0],[0,4855,4983,1,0],[1,4983,5111,1,0],[0,4983,5111,1,0],[0,5116,5244,1,0],[0,5244,5372,1,0],[0,5372,5500,1,0],[0,5500,5628,1,0],[0,5628,5756,1,0],[0,5756,5884,1,0],[1,5907,6035,1,0],[1,6035,6163,1,0],[0,6123,6251,1,0],[0,6251,6379,1,0],[1,6379,6507,1,0],[0,6379,6507,1,0],[1,6507,6635,1,0],[0,6507,6635,1,0],[1,6635,6763,1,0],[0,6635,6763,1,0],[1,6763,6891,1,0],[0,6763,6891,1,0],[0,6891,7019,1,0],[0,7019,7147,1,0],[0,7147,7275,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[1,211,339,1,0],[0,279,407,1,0],[1,339,467,1,0],[0,407,535,1,0],[1,467,595,1,0],[0,535,663,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,865,993,1,0],[0,993,1121,1,0],[0,1121,1249,1,0],[1,1185,1313,1,0],[0,1249,1377,1,0],[1,1313,1441,1,0],[0,1377,1505,1,0],[1,1441,1569,1,0],[0,1505,1633,1,0],[1,1569,1697,1,0],[0,1633,1761,1,0],[1,1697,1825,1,0],[0,1761,1889,1,0],[0,1889,2017,1,0],[1,2017,2145,1,0],[1,2184,2312,1,0],[1,2312,2440,1,0],[0,2437,2565,1,0],[1,2440,2568,1,0],[0,2565,2693,1,0],[1,2568,2696,1,0],[0,2693,2821,1,0],[1,2696,2824,1,0],[0,2821,2949,1,0],[1,2824,2952,1,0],[0,2949,3077,1,0],[1,2952,3080,1,0],[0,3077,3205,1,0],[1,3080,3208,1,0],[0,3205,3333,1,0],[0,3918,4046,1,0],[1,4101,4229,1,0],[0,4145,4177,1,0],[0,4177,4209,1,0],[0,4209,4241,1,0],[0,4241,4273,1,0],[0,4273,4305,1,0],[0,4305,4337,1,0],[0,4337,4369,1,0],[0,4369,4497,1,0],[1,4369,4497,1,0],[0,4497,4625,1,0],[1,4497,4625,1,0],[0,4625,4753,1,0],[1,4625,4753,1,0],[0,4753,4881,1,0],[1,4753,4881,1,0],[0,4881,5009,1,0],[0,5009,5137,1,0],[1,5137,5265,1,0],[1,5265,5393,1,0],[1,5393,5521,1,0],[0,5433,5481,1,0],[0,5481,5529,1,0],[1,5521,5649,1,0],[0,5529,5577,1,0],[0,5577,5625,1,0],[0,5625,5673,1,0],[1,5649,5777,1,0],[0,5673,5721,1,0],[0,5721,5769,1,0],[0,5769,5897,1,0],[1,5777,5905,1,0],[0,5897,6025,1,0],[0,6025,6153,1,0],[1,6097,6225,1,0],[0,6153,6281,1,0],[1,6225,6353,1,0],[0,6281,6409,1,0],[1,6353,6481,1,0],[0,6409,6537,1,0],[0,6537,6665,1,0],[1,6665,6793,1,0],[0,6665,6793,1,0],[1,6793,6921,1,0],[0,6793,6921,1,0],[1,6921,7049,1,0],[0,6921,7049,1,0],[1,7049,7177,1,0],[0,7217,7345,1,0],[0,7345,7473,1,0],[0,7473,7601,1,0],[0,7601,7729,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[0,664,792,1,0],[0,792,920,1,0],[1,920,1048,1,0],[0,920,1048,1,0],[1,1048,1176,1,0],[0,1048,1176,1,0],[1,1176,1304,1,0],[0,1177,1305,1,0],[1,1304,1432,1,0],[0,1305,1433,1,0],[1,1432,1560,1,0],[1,1560,1688,1,0],[0,1618,1746,1,0],[1,1688,1816,1,0],[0,1746,1874,1,0],[1,1816,1944,1,0],[1,1944,2072,1,0],[0,2077,2205,1,0],[0,2205,2333,1,0],[1,2207,2335,1,0],[0,2333,2461,1,0],[1,2335,2463,1,0],[0,2461,2589,1,0],[1,2463,2591,1,0],[0,2589,2717,1,0],[1,2591,2719,1,0],[0,2717,2845,1,0],[1,2719,2847,1,0],[0,2845,2973,1,0],[0,2973,3101,1,0],[1,3101,3229,1,0],[0,3101,3133,1,0],[0,3133,3165,1,0],[0,3165,3197,1,0],[0,3197,3229,1,0],[1,3229,3357,1,0],[0,3230,3262,1,0],[0,3262,3294,1,0],[1,3357,3485,1,0],[1,3485,3613,1,0],[1,3613,3741,1,0],[1,3741,3869,1,0],[1,3869,3997,1,0],[0,4002,4034,1,0],[1,4034,4162,1,0],[0,4144,4192,1,0],[1,4162,4290,1,0],[0,4192,4240,1,0],[0,4240,4288,1,0],[0,4288,4336,1,0],[1,4292,4420,1,0],[0,4336,4384,1,0],[0,4384,4432,1,0],[0,4432,4480,1,0],[1,4480,4608,1,0],[0,4480,4608,1,0],[1,4608,4736,1,0],[0,4608,4736,1,0],[1,4736,4864,1,0],[0,4736,4864,1,0],[1,4864,4992,1,0],[0,4864,4992,1,0],[0,4992,5120,1,0],[0,5120,5248,1,0],[0,5248,5376,1,0],[0,5376,5504,1,0],[0,5504,5632,1,0],[0,5632,5760,1,0],[0,5760,5888,1,0],[1,5804,5932,1,0],[1,5932,6060,1,0],[1,6060,6188,1,0],[0,6079,6207,1,0],[1,6188,6316,1,0],[0,6207,6335,1,0],[0,6335,6463,1,0],[1,6463,6591,1,0],[0,6583,6711,1,0],[1,6591,6719,1,0],[0,6711,6839,1,0],[0,6839,6967,1,0],[0,6967,7095,1,0],[0,7095,7223,1,0],[0,7223,7351,1,0],[0,7351,7479,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,867,995,1,0],[0,995,1123,1,0],[0,1123,1251,1,0],[1,1184,1312,1,0],[0,1251,1379,1,0],[1,1312,1440,1,0],[0,1379,1507,1,0],[1,1440,1568,1,0],[0,1507,1635,1,0],[1,1568,1696,1,0],[0,1635,1763,1,0],[1,1696,1824,1,0],[0,1763,1891,1,0],[0,1891,2019,1,0],[1,2019,2147,1,0],[1,2186,2314,1,0],[1,2314,2442,1,0],[0,2440,2568,1,0],[1,2442,2570,1,0],[0,2568,2696,1,0],[1,2570,2698,1,0],[0,2696,2824,1,0],[1,2698,2826,1,0],[0,2824,2952,1,0],[1,2826,2954,1,0],[0,2952,3080,1,0],[1,2954,3082,1,0],[0,3080,3208,1,0],[1,3082,3210,1,0],[0,3208,3336,1,0],[0,3922,4050,1,0],[1,4105,4233,1,0],[0,4148,4180,1,0],[0,4180,4212,1,0],[0,4212,4244,1,0],[0,4244,4276,1,0],[0,4276,4308,1,0],[0,4308,4340,1,0],[0,4340,4372,1,0],[0,4372,4500,1,0],[1,4372,4500,1,0],[0,4500,4628,1,0],[1,4500,4628,1,0],[0,4628,4756,1,0],[1,4628,4756,1,0],[0,4756,4884,1,0],[1,4756,4884,1,0],[0,4884,5012,1,0],[0,5012,5140,1,0],[1,5140,5268,1,0],[1,5268,5396,1,0],[1,5396,5524,1,0],[0,5431,5479,1,0],[0,5479,5527,1,0],[1,5524,5652,1,0],[0,5527,5575,1,0],[0,5575,5623,1,0],[0,5623,5671,1,0],[1,5652,5780,1,0],[0,5671,5719,1,0],[0,5719,5767,1,0],[0,5767,5895,1,0],[1,5780,5908,1,0],[0,5895,6023,1,0],[0,6023,6151,1,0],[1,6098,6226,1,0],[0,6151,6279,1,0],[1,6226,6354,1,0],[0,6279,6407,1,0],[1,6354,6482,1,0],[0,6407,6535,1,0],[0,6535,6663,1,0],[1,6663,6791,1,0],[0,6663,6791,1,0],[1,6791,6919,1,0],[0,6791,6919,1,0],[1,6919,7047,1,0],[0,6919,7047,1,0],[1,7047,7175,1,0],[0,7211,7339,1,0],[0,7339,7467,1,0],[0,7467,7595,1,0],[0,7595,7723,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,934,1062,1,0],[0,1062,1190,1,0],[1,1174,1302,1,0],[0,1190,1318,1,0],[1,1302,1430,1,0],[1,1430,1558,1,0],[0,1462,1590,1,0],[1,1558,1686,1,0],[0,1590,1718,1,0],[1,1686,1814,1,0],[0,1718,1846,1,0],[1,1814,1942,1,0],[0,1846,1974,1,0],[1,1942,2070,1,0],[0,1974,2102,1,0],[1,2070,2198,1,0],[0,2102,2230,1,0],[0,2230,2358,1,0],[0,2358,2486,1,0],[1,2369,2497,1,0],[0,2486,2614,1,0],[1,2497,2625,1,0],[0,2615,2663,1,0],[1,2625,2753,1,0],[0,2663,2711,1,0],[0,2711,2759,1,0],[1,2753,2881,1,0],[0,2759,2807,1,0],[1,2881,3009,1,0],[0,2957,3005,1,0],[0,3005,3053,1,0],[1,3009,3137,1,0],[0,3332,3460,1,0],[0,3460,3588,1,0],[0,3588,3716,1,0],[0,3716,3844,1,0],[1,3973,4101,1,0],[0,3983,4111,1,0],[1,4101,4229,1,0],[0,4111,4239,1,0],[1,4229,4357,1,0],[1,4357,4485,1,0],[0,4368,4400,1,0],[0,4400,4432,1,0],[0,4432,4464,1,0],[0,4464,4496,1,0],[1,4485,4613,1,0],[0,4496,4528,1,0],[0,4528,4560,1,0],[1,4613,4741,1,0],[0,5208,5336,1,0],[0,5336,5464,1,0],[0,5464,5592,1,0],[0,5592,5720,1,0],[0,5720,5848,1,0],[0,5848,5976,1,0],[1,5976,6104,1,0],[1,6104,6232,1,0],[1,6232,6360,1,0],[1,6360,6488,1,0],[0,6386,6514,1,0],[1,6488,6616,1,0],[0,6514,6642,1,0],[1,6616,6744,1,0],[0,6642,6770,1,0],[1,6744,6872,1,0],[0,6770,6898,1,0],[0,6898,7026,1,0],[0,7026,7154,1,0],[1,7154,7282,1,0],[1,7282,7410,1,0],[1,7410,7538,1,0],[1,7538,7666,1,0],[1,7666,7794,1,0],[1,7794,7922,1,0],[1,7922,8050,1,0]],[[0,24,152,1,0],[0,152,280,1,0],[0,280,408,1,0],[1,381,509,1,0],[0,408,536,1,0],[1,509,637,1,0],[0,536,664,1,0],[1,637,765,1,0],[0,664,792,1,0],[1,765,893,1,0],[0,792,920,1,0],[0,920,1048,1,0],[1,1041,1169,1,0],[0,1048,1176,1,0],[1,1169,1297,1,0],[0,1176,1304,1,0],[1,1297,1425,1,0],[0,1304,1432,1,0],[0,1432,1560,1,0],[0,1852,1980,1,0],[1,1904,2032,1,0],[0,1980,2108,1,0],[1,2032,2160,1,0],[1,2160,2288,1,0],[1,2288,2416,1,0],[0,2364,2492,1,0],[1,2416,2544,1,0],[0,2492,2620,1,0],[1,2544,2672,1,0],[0,2620,2748,1,0],[0,2748,2876,1,0],[1,2833,2961,1,0],[0,3279,3407,1,0],[1,3343,3471,1,0],[0,3407,3535,1,0],[1,3471,3599,1,0],[0,3535,3663,1,0],[1,3599,3727,1,0],[0,3663,3791,1,0],[1,3727,3855,1,0],[0,3791,3919,1,0],[1,3855,3983,1,0],[0,3919,4047,1,0],[1,3983,4111,1,0],[0,4047,4175,1,0],[0,4308,4436,1,0],[1,4430,4558,1,0],[0,4436,4564,1,0],[1,4558,4686,1,0],[0,4564,4692,1,0],[1,4686,4814,1,0],[0,4692,4820,1,0],[1,4814,4942,1,0],[1,4942,5070,1,0],[1,5070,5198,1,0],[0,5076,5204,1,0],[0,5204,5252,1,0],[1,5232,5360,1,0],[0,5252,5300,1,0],[0,5300,5348,1,0],[0,5348,5396,1,0],[1,5360,5488,1,0],[0,5396,5444,1,0],[0,5444,5492,1,0],[1,5488,5616,1,0],[0,5492,5524,1,0],[0,5524,5556,1,0],[0,5556,5588,1,0],[0,5588,5620,1,0],[1,5616,5744,1,0],[0,5620,5652,1,0],[0,5652,5684,1,0],[0,5684,5812,1,0],[1,5744,5872,1,0],[0,5812,5940,1,0],[1,5872,6000,1,0],[0,5940,6068,1,0],[1,6000,6128,1,0],[0,6068,6196,1,0],[0,6196,6324,1,0],[0,6324,6452,1,0],[1,6512,6640,1,0],[1,6640,6768,1,0],[1,6768,6896,1,0],[1,6896,7024,1,0],[1,7024,7152,1,0],[1,7152,7280,1,0],[1,7284,7412,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,932,1060,1,0],[0,1060,1188,1,0],[1,1177,1305,1,0],[0,1188,1316,1,0],[1,1305,1433,1,0],[1,1433,1561,1,0],[0,1460,1588,1,0],[1,1561,1689,1,0],[0,1588,1716,1,0],[1,1689,1817,1,0],[0,1716,1844,1,0],[1,1817,1945,1,0],[0,1844,1972,1,0],[1,1945,2073,1,0],[0,1972,2100,1,0],[1,2073,2201,1,0],[0,2100,2228,1,0],[0,2228,2356,1,0],[0,2356,2484,1,0],[1,2373,2501,1,0],[0,2484,2612,1,0],[1,2501,2629,1,0],[0,2612,2660,1,0],[1,2629,2757,1,0],[0,2660,2708,1,0],[0,2708,2756,1,0],[0,2756,2804,1,0],[1,2757,2885,1,0],[1,2885,3013,1,0],[0,2959,3007,1,0],[0,3007,3055,1,0],[1,3013,3141,1,0],[0,3335,3463,1,0],[0,3625,3753,1,0],[0,3753,3881,1,0],[0,3881,4009,1,0],[1,3978,4106,1,0],[0,4009,4137,1,0],[1,4106,4234,1,0],[0,4137,4265,1,0],[1,4234,4362,1,0],[1,4362,4490,1,0],[0,4371,4403,1,0],[0,4403,4435,1,0],[0,4435,4467,1,0],[0,4467,4499,1,0],[1,4490,4618,1,0],[0,4499,4531,1,0],[0,4531,4563,1,0],[1,4618,4746,1,0],[0,5082,5210,1,0],[0,5210,5338,1,0],[0,5338,5466,1,0],[0,5466,5594,1,0],[0,5594,5722,1,0],[0,5722,5850,1,0],[1,5850,5978,1,0],[1,5978,6106,1,0],[1,6106,6234,1,0],[1,6234,6362,1,0],[0,6320,6448,1,0],[1,6362,6490,1,0],[0,6448,6576,1,0],[1,6490,6618,1,0],[0,6576,6704,1,0],[1,6618,6746,1,0],[0,6704,6832,1,0],[0,6832,6960,1,0],[0,6960,7088,1,0],[1,7088,7216,1,0],[1,7216,7344,1,0],[1,7344,7472,1,0],[1,7472,7600,1,0],[1,7600,7728,1,0],[1,7728,7856,1,0],[1,7856,7984,1,0]],[[0,25,153,1,0],[0,153,281,1,0],[0,281,409,1,0],[1,378,506,1,0],[0,409,537,1,0],[1,506,634,1,0],[0,537,665,1,0],[1,634,762,1,0],[0,665,793,1,0],[1,762,890,1,0],[0,793,921,1,0],[0,923,1051,1,0],[1,1041,1169,1,0],[0,1051,1179,1,0],[1,1169,1297,1,0],[0,1179,1307,1,0],[1,1297,1425,1,0],[0,1307,1435,1,0],[0,1435,1563,1,0],[0,1850,1978,1,0],[1,1901,2029,1,0],[0,1978,2106,1,0],[1,2029,2157,1,0],[1,2157,2285,1,0],[1,2285,2413,1,0],[0,2362,2490,1,0],[1,2413,2541,1,0],[0,2490,2618,1,0],[1,2541,2669,1,0],[0,2618,2746,1,0],[0,2746,2874,1,0],[1,2836,2964,1,0],[0,3283,3411,1,0],[1,3346,3474,1,0],[0,3411,3539,1,0],[1,3474,3602,1,0],[0,3539,3667,1,0],[1,3602,3730,1,0],[0,3667,3795,1,0],[1,3730,3858,1,0],[0,3795,3923,1,0],[1,3858,3986,1,0],[0,3923,4051,1,0],[1,3986,4114,1,0],[0,4051,4179,1,0],[0,4310,4438,1,0],[1,4432,4560,1,0],[0,4438,4566,1,0],[1,4560,4688,1,0],[0,4566,4694,1,0],[1,4688,4816,1,0],[0,4694,4822,1,0],[1,4816,4944,1,0],[1,4944,5072,1,0],[1,5072,5200,1,0],[0,5078,5206,1,0],[1,5200,5328,1,0],[0,5206,5254,1,0],[0,5254,5302,1,0],[0,5302,5350,1,0],[1,5328,5456,1,0],[0,5350,5398,1,0],[0,5398,5446,1,0],[0,5446,5494,1,0],[1,5456,5584,1,0],[0,5494,5526,1,0],[0,5526,5558,1,0],[0,5558,5590,1,0],[1,5585,5713,1,0],[0,5590,5622,1,0],[0,5622,5654,1,0],[0,5654,5686,1,0],[0,5686,5814,1,0],[1,5713,5841,1,0],[0,5814,5942,1,0],[1,5841,5969,1,0],[0,5942,6070,1,0],[1,5969,6097,1,0],[0,6070,6198,1,0],[0,6198,6326,1,0],[0,6326,6454,1,0],[1,6510,6638,1,0],[1,6638,6766,1,0],[1,6766,6894,1,0],[1,6894,7022,1,0],[1,7022,7150,1,0],[1,7150,7278,1,0],[1,7282,7410,1,0]],[[0,23,151,1,0],[1,83,179,1,0],[0,151,279,1,0],[1,179,275,1,0],[1,275,371,1,0],[0,279,407,1,0],[1,371,467,1,0],[0,407,535,1,0],[1,467,563,1,0],[0,535,663,1,0],[1,563,659,1,0],[1,659,755,1,0],[0,663,791,1,0],[0,791,919,1,0],[1,919,951,1,0],[1,951,983,1,0],[1,983,1015,1,0],[1,1015,1047,1,0],[1,1047,1079,1,0],[1,1079,1111,1,0],[0,1102,1230,1,0],[1,1111,1207,1,0],[1,1207,1303,1,0],[0,1230,1358,1,0],[1,1303,1399,1,0],[0,1358,1486,1,0],[1,1399,1495,1,0],[0,1486,1614,1,0],[1,1495,1591,1,0],[1,1591,1687,1,0],[0,1614,1742,1,0],[0,1742,1870,1,0],[0,1870,1998,1,0],[1,1998,2094,1,0],[0,1999,2127,1,0],[1,2094,2190,1,0],[0,2127,2255,1,0],[1,2190,2286,1,0],[0,2255,2383,1,0],[1,2286,2382,1,0],[1,2382,2478,1,0],[0,2383,2511,1,0],[1,2478,2574,1,0],[0,2511,2639,1,0],[1,2574,2670,1,0],[0,2639,2767,1,0],[0,2767,2895,1,0],[1,2895,2991,1,0],[1,2991,3087,1,0],[1,3087,3183,1,0],[1,3183,3279,1,0],[1,3279,3375,1,0],[1,3375,3471,1,0],[0,3424,3552,1,0],[1,3471,3503,1,0],[1,3503,3535,1,0],[1,3535,3567,1,0],[0,3552,3680,1,0],[1,3567,3599,1,0],[1,3599,3631,1,0],[1,3631,3663,1,0],[0,3680,3808,1,0],[0,3808,3936,1,0],[0,3936,4064,1,0],[1,3959,3991,1,0],[1,3991,4023,1,0],[1,4023,4055,1,0],[1,4055,4087,1,0],[0,4064,4192,1,0],[1,4087,4119,1,0],[1,4119,4151,1,0],[1,4151,4183,1,0],[0,4192,4320,1,0],[1,4320,4352,1,0],[0,4321,4449,1,0],[1,4352,4384,1,0],[1,4384,4416,1,0],[1,4416,4448,1,0],[1,4448,4480,1,0],[0,4449,4577,1,0],[1,4480,4512,1,0],[1,4512,4544,1,0],[1,4544,4640,1,0],[0,4577,4705,1,0],[1,4640,4736,1,0],[1,4736,4832,1,0],[1,4832,4928,1,0],[0,4879,5007,1,0],[1,4928,5024,1,0],[0,5007,5135,1,0],[1,5024,5120,1,0],[1,5120,5216,1,0],[0,5135,5263,1,0],[0,5263,5391,1,0],[0,5393,5521,1,0],[1,5410,5442,1,0],[1,5442,5474,1,0],[1,5474,5506,1,0],[1,5506,5538,1,0],[0,5521,5649,1,0],[1,5538,5570,1,0],[1,5570,5602,1,0],[1,5602,5698,1,0],[0,5649,5777,1,0],[1,5698,5794,1,0],[0,5777,5905,1,0],[1,5794,5890,1,0],[1,5890,5986,1,0],[0,5905,6033,1,0],[1,5986,6082,1,0],[0,6033,6161,1,0],[0,6161,6289,1,0],[1,6289,6385,1,0],[1,6397,6429,1,0],[1,6429,6461,1,0],[1,6461,6493,1,0],[1,6493,6525,1,0],[1,6525,6557,1,0],[1,6557,6589,1,0],[1,6589,6621,1,0],[1,6687,6719,1,0],[1,6719,6751,1,0],[1,6751,6783,1,0],[1,6783,6815,1,0],[1,6815,6847,1,0],[1,6847,6879,1,0],[0,7101,7213,1,0],[0,7213,7325,1,0],[0,7325,7437,1,0],[0,7437,7549,1,0],[0,7549,7661,1,0],[0,7661,7773,1,0],[0,7773,7885,1,0],[1,8093,8125,1,0]],[[0,4,132,1,0],[1,83,211,1,0],[0,132,260,1,0],[1,211,339,1,0],[0,260,388,1,0],[1,339,467,1,0],[0,388,516,1,0],[1,467,595,1,0],[0,516,644,1,0],[1,595,723,1,0],[0,644,772,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,984,1112,1,0],[0,1112,1240,1,0],[1,1114,1242,1,0],[0,1240,1368,1,0],[1,1242,1370,1,0],[0,1368,1496,1,0],[1,1370,1498,1,0],[0,1496,1624,1,0],[1,1498,1626,1,0],[0,1624,1752,1,0],[1,1626,1754,1,0],[0,1752,1880,1,0],[0,1880,2008,1,0],[1,2008,2136,1,0],[0,2008,2136,1,0],[1,2136,2264,1,0],[0,2136,2264,1,0],[0,2264,2392,1,0],[0,2392,2520,1,0],[0,2520,2648,1,0],[1,2576,2704,1,0],[0,2648,2776,1,0],[0,2776,2904,1,0],[1,2904,3032,1,0],[0,2904,3032,1,0],[1,3032,3160,1,0],[0,3032,3160,1,0],[1,3160,3288,1,0],[0,3160,3288,1,0],[1,3288,3416,1,0],[0,3288,3416,1,0],[1,3416,3544,1,0],[0,3416,3544,1,0],[0,3544,3672,1,0],[0,3672,3800,1,0],[1,3800,3928,1,0],[1,3928,4056,1,0],[1,4056,4184,1,0],[1,4184,4312,1,0],[1,4312,4440,1,0],[1,4440,4568,1,0],[0,4489,4585,1,0],[1,4568,4696,1,0],[0,4585,4681,1,0],[0,4681,4777,1,0],[1,4696,4824,1,0],[0,4777,4873,1,0],[1,4824,4952,1,0],[0,4873,4969,1,0],[0,4969,5065,1,0],[0,5065,5161,1,0],[1,5161,5289,1,0],[0,5161,5273,1,0],[0,5273,5385,1,0],[1,5289,5417,1,0],[0,5385,5497,1,0],[1,5417,5545,1,0],[0,5497,5609,1,0],[0,5609,5721,1,0],[0,5721,5833,1,0],[0,5833,5945,1,0],[0,6120,6248,1,0],[0,6248,6376,1,0],[0,6376,6504,1,0],[1,6431,6559,1,0],[0,6504,6632,1,0],[1,6559,6687,1,0],[0,6632,6760,1,0],[1,6687,6815,1,0],[0,6760,6888,1,0],[0,6888,7016,1,0],[1,7016,7144,1,0],[1,7144,7272,1,0],[1,7272,7400,1,0],[1,7400,7528,1,0]],[[0,24,152,1,0],[1,83,179,1,0],[0,152,280,1,0],[1,179,275,1,0],[1,275,371,1,0],[0,280,408,1,0],[1,371,467,1,0],[0,408,536,1,0],[1,467,563,1,0],[0,536,664,1,0],[1,563,659,1,0],[1,659,755,1,0],[0,664,792,1,0],[0,792,920,1,0],[1,920,952,1,0],[1,952,984,1,0],[1,984,1016,1,0],[1,1016,1048,1,0],[1,1048,1080,1,0],[1,1080,1112,1,0],[0,1102,1230,1,0],[1,1112,1208,1,0],[1,1208,1304,1,0],[0,1230,1358,1,0],[1,1304,1400,1,0],[0,1358,1486,1,0],[1,1400,1496,1,0],[0,1486,1614,1,0],[1,1496,1592,1,0],[1,1592,1688,1,0],[0,1614,1742,1,0],[0,1742,1870,1,0],[0,1870,1998,1,0],[1,1998,2094,1,0],[0,1999,2127,1,0],[1,2094,2190,1,0],[0,2127,2255,1,0],[1,2190,2286,1,0],[0,2255,2383,1,0],[1,2286,2382,1,0],[1,2382,2478,1,0],[0,2383,2511,1,0],[1,2478,2574,1,0],[0,2511,2639,1,0],[1,2574,2670,1,0],[0,2639,2767,1,0],[0,2767,2895,1,0],[1,2895,2991,1,0],[1,2991,3087,1,0],[1,3087,3183,1,0],[1,3183,3279,1,0],[1,3279,3375,1,0],[1,3375,3471,1,0],[0,3424,3552,1,0],[1,3471,3503,1,0],[1,3503,3535,1,0],[1,3535,3567,1,0],[0,3552,3680,1,0],[1,3567,3599,1,0],[1,3599,3631,1,0],[1,3631,3663,1,0],[0,3680,3808,1,0],[0,3808,3936,1,0],[0,3936,4064,1,0],[1,3960,3992,1,0],[1,3992,4024,1,0],[1,4024,4056,1,0],[1,4056,4088,1,0],[0,4064,4192,1,0],[1,4088,4120,1,0],[1,4120,4152,1,0],[1,4152,4184,1,0],[0,4192,4320,1,0],[1,4320,4352,1,0],[0,4321,4449,1,0],[1,4352,4384,1,0],[1,4386,4418,1,0],[1,4418,4450,1,0],[1,4450,4482,1,0],[0,4451,4579,1,0],[1,4482,4514,1,0],[1,4514,4546,1,0],[1,4546,4642,1,0],[0,4579,4707,1,0],[1,4642,4738,1,0],[0,4707,4835,1,0],[1,4738,4834,1,0],[1,4834,4930,1,0],[1,4930,5026,1,0],[0,5005,5133,1,0],[1,5026,5122,1,0],[1,5122,5218,1,0],[0,5133,5261,1,0],[0,5261,5389,1,0],[0,5389,5517,1,0],[1,5413,5445,1,0],[1,5445,5477,1,0],[1,5477,5509,1,0],[1,5509,5541,1,0],[0,5517,5645,1,0],[1,5541,5573,1,0],[1,5573,5605,1,0],[1,5605,5701,1,0],[0,5645,5773,1,0],[1,5701,5797,1,0],[0,5773,5901,1,0],[1,5797,5893,1,0],[1,5893,5989,1,0],[0,5901,6029,1,0],[1,5989,6085,1,0],[0,6029,6157,1,0],[0,6157,6285,1,0],[1,6285,6381,1,0],[1,6544,6576,1,0],[1,6576,6608,1,0],[1,6608,6640,1,0],[0,6967,7079,1,0],[0,7079,7191,1,0],[0,7191,7303,1,0],[0,7457,7569,1,0],[1,7548,7580,1,0],[0,7569,7681,1,0],[1,7580,7612,1,0],[1,7612,7644,1,0],[1,7644,7676,1,0],[0,7681,7793,1,0],[0,7793,7905,1,0],[1,7905,7937,1,0],[1,7939,7971,1,0],[1,7971,8003,1,0],[1,8003,8035,1,0],[1,8035,8067,1,0],[1,8067,8099,1,0],[1,8103,8135,1,0]],[[0,3,131,1,0],[1,83,211,1,0],[0,131,259,1,0],[1,211,339,1,0],[0,259,387,1,0],[1,339,467,1,0],[0,387,515,1,0],[1,467,595,1,0],[0,515,643,1,0],[1,595,723,1,0],[0,643,771,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,984,1112,1,0],[0,1112,1240,1,0],[1,1114,1242,1,0],[0,1240,1368,1,0],[1,1242,1370,1,0],[0,1368,1496,1,0],[1,1370,1498,1,0],[0,1496,1624,1,0],[1,1498,1626,1,0],[0,1624,1752,1,0],[1,1626,1754,1,0],[0,1752,1880,1,0],[0,1880,2008,1,0],[1,2008,2136,1,0],[0,2008,2136,1,0],[1,2136,2264,1,0],[0,2136,2264,1,0],[0,2264,2392,1,0],[0,2392,2520,1,0],[0,2520,2648,1,0],[1,2578,2706,1,0],[0,2648,2776,1,0],[0,2776,2904,1,0],[1,2904,3032,1,0],[0,2904,3032,1,0],[1,3032,3160,1,0],[0,3032,3160,1,0],[1,3160,3288,1,0],[0,3160,3288,1,0],[1,3288,3416,1,0],[0,3288,3416,1,0],[1,3416,3544,1,0],[0,3416,3544,1,0],[0,3544,3672,1,0],[0,3672,3800,1,0],[1,3800,3928,1,0],[1,3928,4056,1,0],[1,4056,4184,1,0],[1,4184,4312,1,0],[1,4312,4440,1,0],[1,4440,4568,1,0],[0,4489,4585,1,0],[1,4568,4696,1,0],[0,4585,4681,1,0],[0,4681,4777,1,0],[1,4696,4824,1,0],[0,4777,4873,1,0],[1,4824,4952,1,0],[0,4873,4969,1,0],[0,4969,5065,1,0],[0,5065,5161,1,0],[1,5161,5289,1,0],[0,5161,5273,1,0],[1,5289,5417,1,0],[1,5417,5545,1,0],[0,5421,5533,1,0],[0,5533,5645,1,0],[0,5645,5757,1,0],[0,5757,5869,1,0],[0,5869,5981,1,0],[0,5981,6093,1,0],[0,6093,6221,1,0],[0,6221,6349,1,0],[0,6349,6477,1,0],[1,6430,6558,1,0],[0,6477,6605,1,0],[1,6558,6686,1,0],[1,6686,6814,1,0],[1,6814,6942,1,0],[0,6829,6957,1,0],[1,6942,7070,1,0],[0,6957,7085,1,0],[0,7085,7213,1,0],[1,7213,7341,1,0],[1,7341,7469,1,0]],[[0,32,160,1,0],[1,83,211,1,0],[0,160,288,1,0],[1,211,339,1,0],[0,288,416,1,0],[1,339,467,1,0],[0,416,544,1,0],[1,467,595,1,0],[0,544,672,1,0],[1,595,723,1,0],[0,672,800,1,0],[1,723,851,1,0],[0,800,928,1,0],[0,928,1056,1,0],[1,978,1106,1,0],[0,1056,1184,1,0],[1,1106,1234,1,0],[0,1184,1312,1,0],[1,1234,1362,1,0],[0,1312,1440,1,0],[1,1362,1490,1,0],[0,1440,1568,1,0],[1,1490,1618,1,0],[1,1618,1746,1,0],[0,1632,1744,1,0],[0,1744,1856,1,0],[1,1746,1874,1,0],[0,1856,1968,1,0],[1,1874,2002,1,0],[0,1968,2080,1,0],[1,2002,2130,1,0],[0,2080,2192,1,0],[1,2130,2258,1,0],[0,2192,2304,1,0],[1,2258,2386,1,0],[0,2305,2433,1,0],[1,2386,2514,1,0],[0,2433,2561,1,0],[1,2514,2642,1,0],[0,2561,2689,1,0],[1,2642,2770,1,0],[0,2689,2817,1,0],[1,2770,2898,1,0],[0,2817,2945,1,0],[0,2945,3073,1,0],[0,3210,3338,1,0],[1,3262,3390,1,0],[0,3338,3466,1,0],[1,3390,3518,1,0],[0,3466,3594,1,0],[1,3518,3646,1,0],[0,3594,3722,1,0],[1,3646,3774,1,0],[0,3722,3850,1,0],[1,3774,3902,1,0],[0,3850,3978,1,0],[1,3902,4030,1,0],[0,3978,4106,1,0],[0,4106,4234,1,0],[0,4234,4362,1,0],[0,4362,4490,1,0],[0,4490,4618,1,0],[0,4618,4746,1,0],[1,4692,4820,1,0],[1,4820,4948,1,0],[1,4948,5076,1,0],[1,5076,5204,1,0],[1,5204,5332,1,0],[1,5332,5460,1,0],[0,5698,5794,1,0],[1,5792,5920,1,0],[0,5794,5890,1,0],[0,5890,5986,1,0],[1,5920,6048,1,0],[0,5986,6082,1,0],[1,6048,6176,1,0],[0,6082,6178,1,0],[1,6176,6304,1,0],[0,6178,6274,1,0],[1,6304,6432,1,0],[1,6432,6560,1,0],[1,6560,6688,1,0]],[[0,4,132,1,0],[1,83,211,1,0],[0,132,260,1,0],[1,211,339,1,0],[0,260,388,1,0],[1,339,467,1,0],[0,388,516,1,0],[1,467,595,1,0],[0,516,644,1,0],[1,595,723,1,0],[0,644,772,1,0],[1,723,851,1,0],[0,804,932,1,0],[1,856,984,1,0],[0,932,1060,1,0],[1,984,1112,1,0],[0,1060,1188,1,0],[1,1112,1240,1,0],[0,1188,1316,1,0],[1,1240,1368,1,0],[0,1316,1444,1,0],[1,1368,1496,1,0],[0,1444,1572,1,0],[1,1496,1624,1,0],[0,1864,1960,1,0],[0,1960,2056,1,0],[1,2012,2140,1,0],[0,2056,2152,1,0],[1,2140,2268,1,0],[0,2152,2248,1,0],[0,2248,2344,1,0],[1,2268,2396,1,0],[0,2344,2440,1,0],[1,2396,2524,1,0],[0,2440,2568,1,0],[1,2524,2652,1,0],[0,2568,2696,1,0],[1,2652,2780,1,0],[0,2696,2824,1,0],[1,2780,2908,1,0],[0,2824,2952,1,0],[1,2908,3036,1,0],[0,2952,3080,1,0],[1,3036,3164,1,0],[0,3080,3208,1,0],[1,3164,3292,1,0],[0,3208,3336,1,0],[1,3292,3420,1,0],[0,3336,3464,1,0],[1,3420,3548,1,0],[0,3464,3592,1,0],[1,3548,3676,1,0],[0,3592,3720,1,0],[1,3676,3804,1,0],[0,3720,3848,1,0],[1,3804,3932,1,0],[0,3848,3976,1,0],[1,3932,4060,1,0],[0,4006,4134,1,0],[1,4060,4188,1,0],[0,4134,4262,1,0],[1,4188,4316,1,0],[1,4316,4444,1,0],[0,4409,4537,1,0],[1,4444,4572,1,0],[0,4537,4665,1,0],[1,4572,4700,1,0],[0,4665,4793,1,0],[1,4702,4830,1,0],[0,4793,4921,1,0],[1,4830,4958,1,0],[1,4958,5086,1,0],[1,5086,5214,1,0],[1,5214,5342,1,0],[1,5342,5470,1,0],[1,5470,5598,1,0],[0,6341,6453,1,0],[0,6455,6567,1,0],[0,6709,6821,1,0],[0,6821,6933,1,0],[0,6933,7045,1,0],[0,7045,7157,1,0]],[[0,31,159,1,0],[1,83,211,1,0],[0,159,287,1,0],[1,211,339,1,0],[0,287,415,1,0],[1,339,467,1,0],[0,415,543,1,0],[1,467,595,1,0],[0,543,671,1,0],[1,595,723,1,0],[0,671,799,1,0],[1,723,851,1,0],[0,799,927,1,0],[0,927,1055,1,0],[1,982,1110,1,0],[0,1055,1183,1,0],[1,1110,1238,1,0],[0,1183,1311,1,0],[1,1238,1366,1,0],[0,1311,1439,1,0],[1,1366,1494,1,0],[0,1439,1567,1,0],[1,1494,1622,1,0],[1,1622,1750,1,0],[0,1632,1744,1,0],[0,1744,1856,1,0],[1,1750,1878,1,0],[0,1856,1968,1,0],[1,1878,2006,1,0],[0,1968,2080,1,0],[1,2006,2134,1,0],[0,2080,2192,1,0],[1,2134,2262,1,0],[0,2192,2304,1,0],[1,2262,2390,1,0],[0,2304,2432,1,0],[1,2390,2518,1,0],[0,2432,2560,1,0],[1,2518,2646,1,0],[0,2560,2688,1,0],[1,2646,2774,1,0],[0,2689,2817,1,0],[1,2774,2902,1,0],[0,2817,2945,1,0],[0,3147,3275,1,0],[0,3275,3403,1,0],[0,3403,3531,1,0],[0,3531,3659,1,0],[1,3559,3687,1,0],[0,3659,3787,1,0],[1,3687,3815,1,0],[0,3787,3915,1,0],[1,3815,3943,1,0],[0,3915,4043,1,0],[1,3943,4071,1,0],[0,4043,4171,1,0],[1,4071,4199,1,0],[0,4171,4299,1,0],[1,4199,4327,1,0],[0,4299,4427,1,0],[0,4427,4555,1,0],[0,4555,4683,1,0],[0,4683,4811,1,0],[1,5166,5294,1,0],[1,5294,5422,1,0],[1,5422,5550,1,0],[1,5550,5678,1,0],[1,5678,5806,1,0],[1,5806,5934,1,0],[0,5822,5918,1,0],[0,5918,6014,1,0],[1,5934,6062,1,0],[0,6014,6110,1,0],[1,6062,6190,1,0],[0,6110,6206,1,0],[1,6190,6318,1,0],[0,6206,6302,1,0],[0,6302,6398,1,0],[1,6318,6446,1,0],[1,6446,6574,1,0],[1,6574,6702,1,0],[1,6702,6830,1,0]],[[0,3,131,1,0],[1,84,212,1,0],[0,131,259,1,0],[1,212,340,1,0],[0,259,387,1,0],[1,340,468,1,0],[0,387,515,1,0],[1,468,596,1,0],[0,515,643,1,0],[1,596,724,1,0],[0,643,771,1,0],[1,724,852,1,0],[0,804,932,1,0],[1,855,983,1,0],[0,932,1060,1,0],[1,983,1111,1,0],[0,1060,1188,1,0],[1,1111,1239,1,0],[0,1188,1316,1,0],[1,1239,1367,1,0],[0,1316,1444,1,0],[1,1367,1495,1,0],[0,1444,1572,1,0],[1,1495,1623,1,0],[0,1867,1963,1,0],[0,1963,2059,1,0],[1,2010,2138,1,0],[0,2059,2155,1,0],[1,2138,2266,1,0],[0,2155,2251,1,0],[0,2251,2347,1,0],[1,2266,2394,1,0],[0,2347,2443,1,0],[1,2394,2522,1,0],[0,2443,2571,1,0],[1,2522,2650,1,0],[0,2571,2699,1,0],[1,2650,2778,1,0],[0,2699,2827,1,0],[1,2778,2906,1,0],[0,2827,2955,1,0],[1,2907,3035,1,0],[0,2955,3083,1,0],[1,3035,3163,1,0],[0,3083,3211,1,0],[1,3163,3291,1,0],[0,3211,3339,1,0],[1,3291,3419,1,0],[0,3339,3467,1,0],[1,3419,3547,1,0],[0,3467,3595,1,0],[1,3547,3675,1,0],[0,3595,3723,1,0],[1,3675,3803,1,0],[0,3723,3851,1,0],[1,3803,3931,1,0],[0,3851,3979,1,0],[1,3931,4059,1,0],[0,4007,4135,1,0],[1,4059,4187,1,0],[0,4135,4263,1,0],[1,4187,4315,1,0],[1,4315,4443,1,0],[0,4409,4537,1,0],[1,4443,4571,1,0],[0,4537,4665,1,0],[1,4571,4699,1,0],[0,4665,4793,1,0],[1,4699,4827,1,0],[0,4793,4921,1,0],[1,4827,4955,1,0],[1,4955,5083,1,0],[1,5083,5211,1,0],[1,5211,5339,1,0],[1,5339,5467,1,0],[1,5467,5595,1,0],[0,6343,6455,1,0],[0,6455,6567,1,0],[0,6713,6825,1,0],[0,6825,6937,1,0],[0,6937,7049,1,0],[0,7049,7161,1,0]],[[0,23,39,1,0],[0,39,55,1,0],[0,55,71,1,0],[0,71,87,1,0],[1,83,211,1,0],[0,87,103,1,0],[0,103,119,1,0],[0,119,135,1,0],[1,211,339,1,0],[1,339,467,1,0],[1,467,595,1,0],[1,595,723,1,0],[0,608,736,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,904,1032,1,0],[1,979,1107,1,0],[0,1032,1160,1,0],[1,1107,1235,1,0],[0,1160,1288,1,0],[1,1235,1363,1,0],[0,1288,1416,1,0],[1,1363,1491,1,0],[0,1416,1544,1,0],[0,1544,1672,1,0],[1,1672,1800,1,0],[0,1768,1896,1,0],[1,1800,1928,1,0],[0,1896,2024,1,0],[1,1928,2056,1,0],[0,2024,2152,1,0],[1,2056,2184,1,0],[0,2152,2280,1,0],[1,2184,2312,1,0],[0,2280,2408,1,0],[1,2312,2440,1,0],[0,2408,2536,1,0],[0,2536,2664,1,0],[1,2664,2792,1,0],[0,2664,2720,1,0],[0,2720,2776,1,0],[0,2776,2832,1,0],[1,2792,2920,1,0],[0,2832,2888,1,0],[0,2888,2944,1,0],[0,2944,3000,1,0],[0,3000,3056,1,0],[1,3056,3184,1,0],[0,3056,3184,1,0],[1,3184,3312,1,0],[0,3184,3312,1,0],[1,3312,3440,1,0],[0,3312,3440,1,0],[1,3440,3568,1,0],[0,3440,3568,1,0],[1,3568,3696,1,0],[0,3568,3696,1,0],[1,3696,3824,1,0],[0,3696,3824,1,0],[0,3829,3957,1,0],[0,4148,4276,1,0],[1,4228,4356,1,0],[0,4276,4404,1,0],[1,4356,4484,1,0],[1,4484,4612,1,0],[1,4614,4742,1,0],[0,4658,4786,1,0],[1,4742,4870,1,0],[0,4786,4914,1,0],[1,4870,4998,1,0],[0,4914,5042,1,0],[1,4998,5126,1,0],[0,5042,5170,1,0],[0,5170,5298,1,0],[0,5298,5426,1,0],[0,5426,5554,1,0],[0,5554,5682,1,0],[0,5682,5810,1,0],[0,5810,5938,1,0],[0,5938,6066,1,0],[0,6066,6194,1,0],[0,6194,6322,1,0],[1,6238,6366,1,0],[0,6322,6450,1,0],[1,6366,6494,1,0],[0,6450,6578,1,0],[1,6494,6622,1,0],[0,6578,6706,1,0],[1,6622,6750,1,0],[0,6706,6834,1,0],[1,6750,6878,1,0],[0,6834,6962,1,0],[1,6878,7006,1,0],[0,6962,7090,1,0],[1,7006,7134,1,0],[0,7139,7267,1,0],[0,7267,7395,1,0],[1,7267,7395,1,0],[0,7395,7523,1,0],[1,7395,7523,1,0],[0,7523,7651,1,0],[1,7523,7651,1,0],[0,7651,7779,1,0],[1,7651,7779,1,0],[0,7779,7907,1,0],[0,7907,8035,1,0],[1,8035,8163,1,0],[1,8163,8291,1,0],[1,8291,8419,1,0]],[[0,2,130,1,0],[1,83,99,1,0],[1,99,115,1,0],[1,115,131,1,0],[1,131,147,1,0],[0,132,260,1,0],[1,147,163,1,0],[1,163,179,1,0],[1,179,195,1,0],[0,260,388,1,0],[0,388,516,1,0],[0,516,644,1,0],[0,644,772,1,0],[0,772,900,1,0],[1,900,1012,1,0],[0,901,1029,1,0],[1,1012,1124,1,0],[0,1029,1157,1,0],[1,1124,1236,1,0],[0,1157,1285,1,0],[1,1236,1348,1,0],[0,1285,1413,1,0],[1,1348,1460,1,0],[0,1413,1541,1,0],[1,1460,1572,1,0],[0,1541,1669,1,0],[1,1572,1684,1,0],[0,1689,1817,1,0],[1,1817,1929,1,0],[0,1871,1999,1,0],[1,1929,2041,1,0],[0,1999,2127,1,0],[1,2041,2153,1,0],[0,2127,2255,1,0],[1,2153,2265,1,0],[0,2255,2383,1,0],[1,2265,2377,1,0],[1,2377,2489,1,0],[0,2383,2511,1,0],[0,2511,2639,1,0],[0,2639,2767,1,0],[0,2767,2895,1,0],[1,2802,2914,1,0],[0,2895,3023,1,0],[1,2914,3026,1,0],[0,3023,3151,1,0],[1,3026,3138,1,0],[1,3138,3250,1,0],[0,3151,3279,1,0],[1,3250,3362,1,0],[0,3281,3409,1,0],[1,3362,3474,1,0],[0,3409,3537,1,0],[0,3537,3665,1,0],[1,3665,3777,1,0],[1,3777,3889,1,0],[1,3889,4001,1,0],[0,3985,4113,1,0],[1,4001,4113,1,0],[1,4113,4225,1,0],[0,4114,4242,1,0],[1,4225,4337,1,0],[0,4242,4370,1,0],[1,4337,4449,1,0],[0,4370,4498,1,0],[1,4449,4465,1,0],[1,4465,4481,1,0],[1,4481,4497,1,0],[0,4498,4626,1,0],[0,4626,4754,1,0],[1,4729,4745,1,0],[0,4754,4882,1,0],[0,4882,5010,1,0],[0,5010,5138,1,0],[1,5051,5067,1,0],[1,5067,5083,1,0],[1,5083,5099,1,0],[1,5099,5115,1,0],[1,5115,5131,1,0],[1,5131,5147,1,0],[0,5138,5266,1,0],[1,5147,5163,1,0],[1,5163,5179,1,0],[1,5179,5195,1,0],[0,5266,5394,1,0],[0,5394,5522,1,0],[1,5440,5552,1,0],[0,5522,5650,1,0],[1,5552,5664,1,0],[1,5664,5776,1,0],[1,5776,5888,1,0],[1,5888,6000,1,0],[1,6000,6112,1,0],[0,6058,6186,1,0],[1,6112,6224,1,0],[0,6229,6357,1,0],[1,6357,6469,1,0],[0,6358,6486,1,0],[1,6469,6581,1,0],[0,6486,6614,1,0],[1,6581,6693,1,0],[0,6614,6742,1,0],[1,6693,6805,1,0],[0,6742,6870,1,0],[1,6805,6917,1,0],[0,6870,6998,1,0],[1,6917,7029,1,0],[1,7029,7141,1,0],[1,7141,7253,1,0],[0,7261,7389,1,0],[1,7389,7501,1,0],[1,7501,7613,1,0],[1,7613,7725,1,0],[1,7725,7837,1,0],[0,7740,7796,1,0],[0,7796,7852,1,0],[1,7837,7949,1,0],[0,7852,7908,1,0],[1,7949,7965,1,0],[1,7965,7981,1,0],[1,7981,7997,1,0],[1,7997,8013,1,0],[1,8013,8029,1,0],[1,8029,8045,1,0],[1,8045,8061,1,0],[1,8061,8077,1,0],[1,8077,8093,1,0],[0,8085,8141,1,0],[1,8093,8109,1,0],[1,8109,8125,1,0],[1,8125,8141,1,0],[0,8141,8197,1,0],[1,8143,8159,1,0],[1,8159,8175,1,0],[1,8175,8191,1,0],[1,8191,8207,1,0],[0,8197,8253,1,0],[1,8209,8225,1,0],[1,8225,8241,1,0],[0,8253,8309,1,0],[1,8309,8325,1,0]],[[0,24,40,1,0],[0,40,56,1,0],[0,56,72,1,0],[0,72,88,1,0],[1,83,211,1,0],[0,88,104,1,0],[0,104,120,1,0],[0,120,136,1,0],[1,211,339,1,0],[1,339,467,1,0],[1,467,595,1,0],[1,595,723,1,0],[0,608,736,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,904,1032,1,0],[1,979,1107,1,0],[0,1032,1160,1,0],[1,1107,1235,1,0],[0,1160,1288,1,0],[1,1235,1363,1,0],[0,1288,1416,1,0],[1,1363,1491,1,0],[0,1416,1544,1,0],[1,1491,1619,1,0],[0,1544,1672,1,0],[1,1726,1854,1,0],[0,1770,1898,1,0],[1,1854,1982,1,0],[0,1898,2026,1,0],[1,1982,2110,1,0],[0,2026,2154,1,0],[1,2110,2238,1,0],[0,2154,2282,1,0],[1,2238,2366,1,0],[0,2282,2410,1,0],[1,2366,2494,1,0],[0,2410,2538,1,0],[0,2538,2666,1,0],[1,2576,2704,1,0],[0,2666,2722,1,0],[1,2704,2832,1,0],[0,2722,2778,1,0],[0,2778,2834,1,0],[1,2832,2960,1,0],[0,2834,2890,1,0],[0,2890,2946,1,0],[0,2946,3002,1,0],[0,3002,3058,1,0],[1,3058,3186,1,0],[0,3058,3186,1,0],[1,3186,3314,1,0],[0,3186,3314,1,0],[1,3314,3442,1,0],[0,3314,3442,1,0],[1,3442,3570,1,0],[0,3442,3570,1,0],[0,3570,3698,1,0],[0,3698,3826,1,0],[0,3826,3954,1,0],[1,4094,4222,1,0],[0,4147,4275,1,0],[1,4222,4350,1,0],[0,4275,4403,1,0],[1,4350,4478,1,0],[1,4478,4606,1,0],[1,4606,4734,1,0],[0,4657,4785,1,0],[1,4734,4862,1,0],[0,4785,4913,1,0],[1,4862,4990,1,0],[0,4913,5041,1,0],[0,5041,5169,1,0],[0,5169,5297,1,0],[0,5625,5753,1,0],[0,5753,5881,1,0],[0,5881,6009,1,0],[0,6009,6137,1,0],[0,6137,6265,1,0],[0,6265,6393,1,0],[1,6391,6519,1,0],[0,6393,6521,1,0],[1,6519,6647,1,0],[0,6522,6650,1,0],[1,6647,6775,1,0],[0,6650,6778,1,0],[1,6775,6903,1,0],[0,6778,6906,1,0],[1,6903,7031,1,0],[0,6906,7034,1,0],[1,7031,7159,1,0],[0,7034,7162,1,0],[1,7159,7287,1,0],[0,7162,7290,1,0],[1,7287,7415,1,0],[0,7290,7418,1,0],[1,7415,7543,1,0],[0,7418,7546,1,0],[1,7543,7671,1,0],[0,7546,7674,1,0],[1,7671,7799,1,0],[0,7674,7802,1,0],[1,7799,7927,1,0],[0,7802,7930,1,0],[1,7927,8055,1,0],[0,7930,8058,1,0],[0,8058,8186,1,0],[0,8186,8314,1,0],[1,8289,8417,1,0]],[[0,2,130,1,0],[1,83,99,1,0],[1,99,115,1,0],[1,115,131,1,0],[1,131,147,1,0],[0,132,260,1,0],[1,147,163,1,0],[1,163,179,1,0],[1,179,195,1,0],[0,260,388,1,0],[0,388,516,1,0],[0,516,644,1,0],[0,644,772,1,0],[0,772,900,1,0],[1,900,1012,1,0],[0,901,1029,1,0],[1,1012,1124,1,0],[0,1029,1157,1,0],[1,1124,1236,1,0],[0,1157,1285,1,0],[1,1236,1348,1,0],[0,1285,1413,1,0],[1,1348,1460,1,0],[0,1413,1541,1,0],[1,1460,1572,1,0],[0,1541,1669,1,0],[1,1572,1684,1,0],[0,1689,1817,1,0],[1,1817,1929,1,0],[0,1870,1998,1,0],[1,1929,2041,1,0],[0,1998,2126,1,0],[1,2041,2153,1,0],[0,2126,2254,1,0],[1,2153,2265,1,0],[0,2254,2382,1,0],[1,2265,2377,1,0],[1,2377,2489,1,0],[0,2382,2510,1,0],[1,2489,2601,1,0],[0,2510,2638,1,0],[0,2638,2766,1,0],[1,2802,2914,1,0],[0,2890,3018,1,0],[1,2914,3026,1,0],[0,3018,3146,1,0],[1,3026,3138,1,0],[1,3138,3250,1,0],[0,3146,3274,1,0],[1,3250,3362,1,0],[0,3274,3402,1,0],[0,3402,3530,1,0],[1,3475,3587,1,0],[0,3530,3658,1,0],[0,3658,3786,1,0],[1,3786,3898,1,0],[1,3898,4010,1,0],[1,4010,4122,1,0],[0,4100,4228,1,0],[1,4122,4234,1,0],[0,4228,4356,1,0],[1,4234,4346,1,0],[1,4346,4458,1,0],[0,4356,4484,1,0],[1,4458,4474,1,0],[1,4474,4490,1,0],[0,4484,4612,1,0],[1,4490,4506,1,0],[1,4506,4522,1,0],[1,4522,4538,1,0],[0,4612,4740,1,0],[1,4709,4725,1,0],[1,4725,4741,1,0],[0,4740,4868,1,0],[1,4742,4758,1,0],[1,4758,4774,1,0],[1,4774,4790,1,0],[1,4792,4808,1,0],[1,4808,4824,1,0],[1,4824,4840,1,0],[0,4868,4996,1,0],[0,4996,5124,1,0],[0,5124,5252,1,0],[0,5252,5380,1,0],[0,5380,5508,1,0],[1,5461,5573,1,0],[0,5508,5636,1,0],[1,5573,5685,1,0],[0,5636,5764,1,0],[1,5685,5797,1,0],[1,5797,5909,1,0],[1,5909,6021,1,0],[1,6021,6133,1,0],[1,6133,6245,1,0],[0,6250,6378,1,0],[1,6378,6490,1,0],[0,6379,6507,1,0],[1,6490,6602,1,0],[1,6602,6714,1,0],[0,6695,6823,1,0],[1,6714,6826,1,0],[0,6823,6951,1,0],[1,6826,6938,1,0],[1,6938,7050,1,0],[0,6951,7079,1,0],[1,7051,7163,1,0],[0,7079,7207,1,0],[1,7163,7275,1,0],[0,7207,7335,1,0],[0,7335,7463,1,0],[1,7463,7575,1,0],[1,7575,7687,1,0],[1,7687,7799,1,0],[1,7799,7911,1,0],[1,7911,8023,1,0],[0,8000,8056,1,0],[1,8023,8039,1,0],[1,8039,8055,1,0],[1,8055,8071,1,0],[0,8056,8112,1,0],[1,8071,8087,1,0],[1,8087,8103,1,0],[1,8103,8119,1,0],[0,8112,8168,1,0],[1,8119,8135,1,0],[1,8135,8151,1,0],[1,8151,8167,1,0],[1,8167,8183,1,0],[1,8183,8199,1,0],[1,8199,8215,1,0],[1,8215,8231,1,0],[1,8231,8247,1,0],[1,8247,8263,1,0],[1,8263,8279,1,0],[1,8279,8295,1,0],[1,8295,8311,1,0],[1,8311,8327,1,0],[0,8345,8401,1,0],[0,8401,8457,1,0],[0,8457,8513,1,0],[0,8513,8569,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,259,387,1,0],[1,339,467,1,0],[0,387,515,1,0],[1,467,595,1,0],[0,515,643,1,0],[1,595,723,1,0],[0,643,771,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,984,1112,1,0],[0,1112,1240,1,0],[0,1240,1368,1,0],[0,1368,1496,1,0],[0,1496,1624,1,0],[0,1624,1752,1,0],[0,1752,1880,1,0],[0,1880,2008,1,0],[1,2008,2136,1,0],[0,2019,2147,1,0],[1,2136,2264,1,0],[0,2147,2275,1,0],[1,2264,2392,1,0],[0,2275,2403,1,0],[1,2392,2520,1,0],[0,2403,2531,1,0],[1,2520,2648,1,0],[0,2531,2659,1,0],[1,2648,2776,1,0],[0,2659,2787,1,0],[1,2776,2904,1,0],[0,2909,3037,1,0],[0,3037,3165,1,0],[0,3165,3293,1,0],[0,3293,3421,1,0],[1,3318,3446,1,0],[0,3421,3549,1,0],[1,3446,3574,1,0],[0,3549,3677,1,0],[1,3574,3702,1,0],[0,3677,3805,1,0],[1,3702,3830,1,0],[0,3805,3933,1,0],[1,3830,3958,1,0],[1,3958,4086,1,0],[1,4086,4214,1,0],[1,4214,4342,1,0],[0,4341,4357,1,0],[1,4342,4470,1,0],[0,4357,4373,1,0],[0,4373,4389,1,0],[0,4389,4405,1,0],[0,4405,4421,1,0],[0,4421,4437,1,0],[0,4437,4453,1,0],[1,4470,4598,1,0],[1,4598,4726,1,0],[1,4726,4854,1,0],[0,4788,4916,1,0],[0,4916,5044,1,0],[1,4970,5098,1,0],[0,5094,5150,1,0],[1,5098,5226,1,0],[0,5150,5206,1,0],[0,5206,5262,1,0],[1,5226,5354,1,0],[0,5262,5318,1,0],[0,5318,5374,1,0],[0,5374,5430,1,0],[0,5430,5486,1,0],[0,5486,5614,1,0],[1,5486,5614,1,0],[0,5614,5742,1,0],[1,5614,5742,1,0],[0,5742,5870,1,0],[1,5742,5870,1,0],[0,5870,5998,1,0],[0,5998,6126,1,0],[0,6126,6254,1,0],[0,6254,6382,1,0],[1,6267,6395,1,0],[0,6382,6510,1,0],[0,6510,6638,1,0],[0,6638,6766,1,0],[1,6756,6884,1,0],[0,6766,6894,1,0],[1,6884,7012,1,0],[1,7012,7140,1,0],[1,7140,7268,1,0],[1,7268,7396,1,0],[1,7396,7524,1,0],[0,7529,7657,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[0,664,792,1,0],[0,792,920,1,0],[1,920,1048,1,0],[1,1048,1176,1,0],[0,1114,1242,1,0],[1,1176,1304,1,0],[0,1242,1370,1,0],[1,1304,1432,1,0],[1,1432,1560,1,0],[1,1560,1688,1,0],[0,1590,1718,1,0],[1,1688,1816,1,0],[0,1718,1846,1,0],[0,1846,1974,1,0],[1,1878,2006,1,0],[0,1974,2102,1,0],[1,2006,2134,1,0],[0,2102,2230,1,0],[1,2134,2262,1,0],[0,2230,2358,1,0],[1,2262,2390,1,0],[0,2358,2486,1,0],[1,2390,2518,1,0],[0,2486,2614,1,0],[1,2518,2646,1,0],[0,2614,2742,1,0],[1,2646,2774,1,0],[0,2742,2870,1,0],[0,2870,2998,1,0],[0,2998,3126,1,0],[1,3091,3219,1,0],[1,3219,3347,1,0],[0,3238,3366,1,0],[1,3347,3475,1,0],[0,3366,3494,1,0],[1,3475,3603,1,0],[0,3494,3622,1,0],[1,3603,3731,1,0],[0,3622,3750,1,0],[1,3731,3859,1,0],[0,3750,3878,1,0],[1,3859,3987,1,0],[0,3878,4006,1,0],[0,4006,4134,1,0],[0,4134,4262,1,0],[0,4262,4390,1,0],[0,4390,4518,1,0],[0,4518,4646,1,0],[0,4646,4774,1,0],[0,4774,4902,1,0],[1,4858,4986,1,0],[0,4902,5030,1,0],[1,4986,5114,1,0],[1,5114,5242,1,0],[1,5242,5370,1,0],[1,5370,5498,1,0],[1,5498,5626,1,0],[0,6153,6209,1,0],[0,6209,6337,1,0],[0,6362,6418,1,0],[0,6418,6474,1,0],[0,6474,6530,1,0],[1,6496,6624,1,0],[0,6530,6586,1,0],[0,6586,6642,1,0],[0,6642,6698,1,0],[0,6698,6826,1,0],[1,6698,6826,1,0],[0,6826,6954,1,0],[1,6826,6954,1,0],[0,6954,7082,1,0],[1,6954,7082,1,0],[0,7082,7210,1,0],[1,7082,7210,1,0],[0,7210,7338,1,0],[1,7210,7338,1,0],[0,7338,7466,1,0],[1,7338,7466,1,0],[0,7861,7877,1,0],[0,7877,7893,1,0],[0,7893,7909,1,0],[0,7909,7925,1,0],[0,7993,8009,1,0],[0,8009,8025,1,0],[0,8025,8041,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,259,387,1,0],[1,339,467,1,0],[0,387,515,1,0],[1,467,595,1,0],[0,515,643,1,0],[1,595,723,1,0],[0,643,771,1,0],[1,723,851,1,0],[1,851,979,1,0],[0,984,1112,1,0],[0,1112,1240,1,0],[0,1240,1368,1,0],[0,1368,1496,1,0],[0,1496,1624,1,0],[0,1624,1752,1,0],[0,1752,1880,1,0],[0,1880,2008,1,0],[1,2008,2136,1,0],[1,2136,2264,1,0],[1,2264,2392,1,0],[1,2392,2520,1,0],[1,2520,2648,1,0],[0,2527,2655,1,0],[1,2648,2776,1,0],[0,2655,2783,1,0],[1,2776,2904,1,0],[0,2783,2911,1,0],[0,2911,3039,1,0],[1,2978,3106,1,0],[0,3039,3167,1,0],[0,3167,3295,1,0],[0,3295,3423,1,0],[0,3423,3551,1,0],[0,3551,3679,1,0],[1,3585,3713,1,0],[0,3679,3807,1,0],[1,3713,3841,1,0],[0,3807,3935,1,0],[1,3841,3969,1,0],[0,3935,4063,1,0],[1,3969,4097,1,0],[0,4063,4191,1,0],[1,4097,4225,1,0],[0,4191,4319,1,0],[1,4225,4353,1,0],[0,4319,4335,1,0],[0,4335,4351,1,0],[0,4351,4367,1,0],[1,4353,4481,1,0],[0,4367,4383,1,0],[0,4383,4399,1,0],[0,4400,4416,1,0],[0,4416,4432,1,0],[1,4481,4609,1,0],[1,4609,4737,1,0],[1,4737,4865,1,0],[1,4865,4993,1,0],[1,4993,5121,1,0],[0,5448,5504,1,0],[0,5504,5560,1,0],[0,5560,5616,1,0],[1,5581,5709,1,0],[0,5616,5672,1,0],[0,5672,5800,1,0],[1,5709,5837,1,0],[0,5853,5909,1,0],[0,5909,5965,1,0],[0,5965,6021,1,0],[0,6021,6149,1,0],[1,6021,6149,1,0],[0,6149,6277,1,0],[0,6277,6405,1,0],[0,6405,6533,1,0],[0,6533,6661,1,0],[0,6661,6789,1,0],[0,6789,6917,1,0],[1,6916,7044,1,0],[0,6917,7045,1,0],[1,7044,7172,1,0],[0,7045,7173,1,0],[1,7172,7300,1,0],[0,7173,7301,1,0],[1,7300,7428,1,0],[0,7301,7429,1,0],[1,7428,7556,1,0],[0,7429,7557,1,0],[1,7556,7684,1,0],[1,7684,7812,1,0],[1,7812,7940,1,0],[1,7940,8068,1,0],[0,8073,8201,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[1,211,339,1,0],[0,279,407,1,0],[1,339,467,1,0],[0,407,535,1,0],[1,467,595,1,0],[0,535,663,1,0],[1,595,723,1,0],[0,663,791,1,0],[0,791,919,1,0],[1,919,1047,1,0],[1,1047,1175,1,0],[0,1114,1242,1,0],[1,1175,1303,1,0],[0,1242,1370,1,0],[1,1303,1431,1,0],[1,1431,1559,1,0],[1,1559,1687,1,0],[0,1587,1715,1,0],[1,1687,1815,1,0],[0,1715,1843,1,0],[0,1843,1971,1,0],[1,1876,2004,1,0],[0,1971,2099,1,0],[1,2004,2132,1,0],[0,2099,2227,1,0],[1,2132,2260,1,0],[0,2227,2355,1,0],[1,2260,2388,1,0],[0,2355,2483,1,0],[1,2388,2516,1,0],[0,2483,2611,1,0],[1,2516,2644,1,0],[0,2611,2739,1,0],[1,2644,2772,1,0],[0,2739,2867,1,0],[0,2867,2995,1,0],[0,2995,3123,1,0],[1,3090,3218,1,0],[1,3218,3346,1,0],[0,3237,3365,1,0],[1,3346,3474,1,0],[0,3365,3493,1,0],[1,3474,3602,1,0],[0,3493,3621,1,0],[1,3602,3730,1,0],[0,3621,3749,1,0],[1,3730,3858,1,0],[0,3749,3877,1,0],[1,3858,3986,1,0],[0,3877,4005,1,0],[0,4005,4133,1,0],[0,4133,4261,1,0],[0,4261,4389,1,0],[0,4389,4517,1,0],[0,4517,4645,1,0],[0,4645,4773,1,0],[0,4773,4901,1,0],[1,4854,4982,1,0],[0,4901,5029,1,0],[1,4982,5110,1,0],[1,5110,5238,1,0],[1,5238,5366,1,0],[1,5366,5494,1,0],[1,5494,5622,1,0],[0,6153,6209,1,0],[0,6209,6337,1,0],[0,6362,6418,1,0],[0,6418,6474,1,0],[0,6474,6530,1,0],[1,6489,6617,1,0],[0,6530,6586,1,0],[0,6586,6642,1,0],[0,6642,6698,1,0],[0,6698,6826,1,0],[1,6698,6826,1,0],[0,6826,6954,1,0],[1,6826,6954,1,0],[0,6954,7082,1,0],[1,6954,7082,1,0],[0,7082,7210,1,0],[1,7082,7210,1,0],[0,7210,7338,1,0],[1,7210,7338,1,0],[0,7338,7466,1,0],[1,7338,7466,1,0],[0,7862,7878,1,0],[0,7878,7894,1,0],[0,7894,7910,1,0],[0,7910,7926,1,0],[0,7926,7942,1,0],[0,7942,7958,1,0],[0,7958,7974,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,258,386,1,0],[1,339,467,1,0],[0,386,514,1,0],[1,467,595,1,0],[0,514,642,1,0],[1,595,723,1,0],[0,642,770,1,0],[1,723,851,1,0],[0,993,1121,1,0],[0,1121,1249,1,0],[0,1249,1377,1,0],[0,1377,1505,1,0],[0,1505,1633,1,0],[0,1633,1761,1,0],[1,1761,1889,1,0],[1,1889,2017,1,0],[1,2017,2145,1,0],[1,2145,2273,1,0],[0,2150,2206,1,0],[0,2206,2262,1,0],[0,2262,2318,1,0],[1,2273,2401,1,0],[0,2320,2376,1,0],[0,2376,2432,1,0],[1,2401,2529,1,0],[0,2432,2488,1,0],[0,2488,2616,1,0],[1,2529,2657,1,0],[0,2616,2744,1,0],[1,2657,2785,1,0],[0,2744,2872,1,0],[1,2785,2913,1,0],[0,2872,3000,1,0],[1,2913,3041,1,0],[0,3000,3128,1,0],[1,3041,3169,1,0],[0,3128,3256,1,0],[1,3169,3297,1,0],[1,3297,3425,1,0],[0,3417,3545,1,0],[0,3545,3673,1,0],[1,3612,3740,1,0],[0,3673,3801,1,0],[0,3801,3929,1,0],[1,3839,3967,1,0],[0,3929,4057,1,0],[1,3967,4095,1,0],[0,4057,4185,1,0],[1,4095,4223,1,0],[0,4185,4313,1,0],[1,4223,4351,1,0],[0,4313,4441,1,0],[1,4351,4479,1,0],[0,4441,4569,1,0],[1,4479,4607,1,0],[0,4569,4697,1,0],[0,4697,4825,1,0],[0,4825,4953,1,0],[0,4953,5081,1,0],[0,5081,5209,1,0],[1,5087,5215,1,0],[0,5209,5337,1,0],[1,5215,5343,1,0],[0,5337,5465,1,0],[1,5343,5471,1,0],[0,5465,5593,1,0],[1,5471,5599,1,0],[0,5593,5721,1,0],[1,5599,5727,1,0],[1,5727,5855,1,0],[1,5855,5983,1,0],[1,7507,7635,1,0],[1,7635,7763,1,0],[1,7763,7891,1,0],[1,7891,8019,1,0],[1,8019,8147,1,0],[1,8147,8275,1,0],[1,8275,8403,1,0],[0,8482,8498,1,0],[0,8498,8514,1,0],[0,8514,8530,1,0],[0,8530,8546,1,0],[0,8546,8562,1,0],[0,8562,8578,1,0]],[[0,30,158,1,0],[0,158,286,1,0],[0,286,414,1,0],[0,414,542,1,0],[0,542,670,1,0],[1,670,798,1,0],[0,855,983,1,0],[1,983,1111,1,0],[1,1111,1239,1,0],[1,1239,1367,1,0],[0,1244,1372,1,0],[1,1367,1495,1,0],[0,1372,1500,1,0],[1,1495,1623,1,0],[0,1500,1628,1,0],[1,1623,1751,1,0],[0,1628,1756,1,0],[1,1751,1879,1,0],[0,1756,1884,1,0],[1,1879,2007,1,0],[0,1884,2012,1,0],[1,2007,2135,1,0],[1,2135,2263,1,0],[0,2251,2379,1,0],[1,2263,2391,1,0],[0,2379,2507,1,0],[1,2391,2519,1,0],[0,2507,2635,1,0],[1,2540,2668,1,0],[0,2635,2763,1,0],[1,2668,2796,1,0],[0,2763,2891,1,0],[1,2796,2924,1,0],[0,2891,3019,1,0],[1,2924,3052,1,0],[0,3019,3147,1,0],[1,3052,3180,1,0],[0,3147,3275,1,0],[1,3180,3308,1,0],[0,3275,3403,1,0],[0,3403,3531,1,0],[1,3427,3555,1,0],[0,3531,3659,1,0],[0,3659,3787,1,0],[1,3744,3872,1,0],[0,3787,3915,1,0],[1,3872,4000,1,0],[0,3915,4043,1,0],[1,4000,4128,1,0],[0,4043,4171,1,0],[1,4128,4256,1,0],[0,4171,4299,1,0],[1,4256,4384,1,0],[0,4299,4427,1,0],[0,4427,4555,1,0],[1,4645,4773,1,0],[1,4773,4901,1,0],[1,4901,5029,1,0],[0,5016,5032,1,0],[1,5029,5157,1,0],[0,5032,5048,1,0],[0,5048,5064,1,0],[0,5064,5080,1,0],[0,5080,5096,1,0],[0,5096,5112,1,0],[1,5157,5285,1,0],[1,5285,5413,1,0],[0,5353,5481,1,0],[1,5413,5541,1,0],[0,5481,5609,1,0],[1,5541,5669,1,0],[0,5609,5737,1,0],[0,5737,5865,1,0],[0,5865,5993,1,0],[1,5984,6112,1,0],[0,5993,6121,1,0],[1,6112,6240,1,0],[1,6240,6368,1,0],[1,6368,6496,1,0],[1,6496,6624,1,0],[1,6624,6752,1,0],[0,6663,6719,1,0],[0,6719,6775,1,0],[0,6775,6831,1,0],[0,6831,6887,1,0],[0,7075,7131,1,0],[1,7130,7258,1,0],[0,7131,7187,1,0]],[[0,2,130,1,0],[1,83,211,1,0],[0,130,258,1,0],[1,211,339,1,0],[0,258,386,1,0],[1,339,467,1,0],[0,386,514,1,0],[1,467,595,1,0],[0,514,642,1,0],[1,595,723,1,0],[0,642,770,1,0],[1,723,851,1,0],[0,991,1119,1,0],[0,1119,1247,1,0],[0,1247,1375,1,0],[0,1375,1503,1,0],[0,1503,1631,1,0],[0,1631,1759,1,0],[1,1759,1887,1,0],[1,1887,2015,1,0],[1,2015,2143,1,0],[1,2143,2271,1,0],[0,2148,2204,1,0],[0,2204,2260,1,0],[0,2260,2316,1,0],[1,2271,2399,1,0],[0,2318,2374,1,0],[0,2374,2430,1,0],[1,2399,2527,1,0],[0,2430,2486,1,0],[0,2486,2614,1,0],[1,2527,2655,1,0],[0,2614,2742,1,0],[1,2655,2783,1,0],[0,2742,2870,1,0],[1,2783,2911,1,0],[0,2870,2998,1,0],[1,2911,3039,1,0],[0,2998,3126,1,0],[1,3039,3167,1,0],[0,3126,3254,1,0],[1,3167,3295,1,0],[0,3254,3382,1,0],[1,3295,3423,1,0],[0,3382,3510,1,0],[1,3423,3551,1,0],[0,3510,3638,1,0],[0,3638,3766,1,0],[0,3766,3894,1,0],[1,3835,3963,1,0],[0,3894,4022,1,0],[1,3963,4091,1,0],[1,4091,4219,1,0],[0,4142,4270,1,0],[1,4219,4347,1,0],[0,4270,4398,1,0],[1,4347,4475,1,0],[0,4398,4526,1,0],[1,4475,4603,1,0],[0,4526,4654,1,0],[1,4603,4731,1,0],[0,4654,4782,1,0],[1,4731,4859,1,0],[0,4782,4910,1,0],[1,4859,4987,1,0],[0,4910,5038,1,0],[1,4987,5115,1,0],[0,5038,5166,1,0],[0,5167,5295,1,0],[0,5439,5567,1,0],[1,5553,5681,1,0],[1,5681,5809,1,0],[1,5809,5937,1,0],[0,5823,5951,1,0],[0,5951,6079,1,0],[1,6506,6634,1,0],[1,7323,7451,1,0],[1,7451,7579,1,0],[1,7579,7707,1,0],[1,7707,7835,1,0],[1,7835,7963,1,0],[1,7963,8091,1,0],[0,8139,8155,1,0],[0,8155,8171,1,0],[0,8171,8187,1,0],[0,8187,8203,1,0],[0,8203,8219,1,0],[0,8219,8235,1,0]],[[0,29,157,1,0],[0,157,285,1,0],[0,285,413,1,0],[0,413,541,1,0],[0,541,669,1,0],[1,669,797,1,0],[0,853,981,1,0],[1,981,1109,1,0],[1,1109,1237,1,0],[1,1237,1365,1,0],[0,1242,1370,1,0],[1,1365,1493,1,0],[0,1370,1498,1,0],[1,1493,1621,1,0],[0,1498,1626,1,0],[1,1621,1749,1,0],[0,1626,1754,1,0],[1,1749,1877,1,0],[0,1754,1882,1,0],[1,1877,2005,1,0],[0,1882,2010,1,0],[1,2005,2133,1,0],[1,2133,2261,1,0],[0,2248,2376,1,0],[1,2261,2389,1,0],[0,2376,2504,1,0],[1,2389,2517,1,0],[0,2504,2632,1,0],[1,2537,2665,1,0],[0,2632,2760,1,0],[1,2665,2793,1,0],[0,2760,2888,1,0],[1,2793,2921,1,0],[0,2888,3016,1,0],[1,2921,3049,1,0],[0,3016,3144,1,0],[1,3049,3177,1,0],[0,3144,3272,1,0],[1,3177,3305,1,0],[0,3272,3400,1,0],[0,3400,3528,1,0],[1,3423,3551,1,0],[0,3528,3656,1,0],[0,3656,3784,1,0],[1,3740,3868,1,0],[0,3784,3912,1,0],[1,3868,3996,1,0],[0,3912,4040,1,0],[1,3996,4124,1,0],[0,4040,4168,1,0],[1,4124,4252,1,0],[0,4168,4296,1,0],[1,4252,4380,1,0],[0,4296,4424,1,0],[0,4424,4552,1,0],[1,4640,4768,1,0],[1,4768,4896,1,0],[1,4896,5024,1,0],[0,5016,5032,1,0],[1,5024,5152,1,0],[0,5032,5048,1,0],[0,5048,5064,1,0],[0,5064,5080,1,0],[0,5080,5096,1,0],[0,5096,5112,1,0],[1,5152,5280,1,0],[1,5280,5408,1,0],[0,5351,5479,1,0],[1,5408,5536,1,0],[0,5479,5607,1,0],[1,5536,5664,1,0],[0,5607,5735,1,0],[0,5735,5863,1,0],[0,5863,5991,1,0],[1,5981,6109,1,0],[0,5991,6119,1,0],[1,6109,6237,1,0],[1,6237,6365,1,0],[1,6365,6493,1,0],[1,6493,6621,1,0],[1,6621,6749,1,0],[0,6665,6721,1,0],[0,6721,6777,1,0],[0,6777,6833,1,0],[0,6833,6889,1,0],[0,7074,7130,1,0],[1,7129,7257,1,0],[0,7130,7186,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,768,896,1,0],[1,852,980,1,0],[0,922,1050,1,0],[1,980,1108,1,0],[0,1050,1178,1,0],[1,1108,1236,1,0],[0,1178,1306,1,0],[1,1236,1364,1,0],[0,1306,1434,1,0],[1,1364,1492,1,0],[0,1434,1562,1,0],[1,1492,1620,1,0],[0,1562,1690,1,0],[1,1620,1748,1,0],[0,1690,1818,1,0],[1,1748,1876,1,0],[0,2258,2386,1,0],[0,2386,2514,1,0],[0,2514,2642,1,0],[1,2518,2646,1,0],[1,2646,2774,1,0],[1,2774,2902,1,0],[1,2902,3030,1,0],[1,3030,3158,1,0],[1,3158,3286,1,0],[0,3167,3295,1,0],[1,3286,3414,1,0],[0,3295,3423,1,0],[1,3414,3542,1,0],[0,3423,3551,1,0],[0,3551,3679,1,0],[1,3679,3807,1,0],[0,3679,3807,1,0],[1,3807,3935,1,0],[0,3807,3935,1,0],[1,3935,4063,1,0],[0,3935,4063,1,0],[1,4063,4191,1,0],[0,4063,4191,1,0],[0,4191,4319,1,0],[1,4193,4321,1,0],[0,4319,4447,1,0],[0,4449,4577,1,0],[1,4577,4705,1,0],[0,4577,4705,1,0],[1,4705,4833,1,0],[0,4705,4833,1,0],[1,4833,4961,1,0],[0,4833,4961,1,0],[1,4961,5089,1,0],[0,4961,5089,1,0],[1,5089,5217,1,0],[0,5089,5217,1,0],[1,5217,5345,1,0],[0,5217,5345,1,0],[0,5350,5478,1,0],[1,5478,5606,1,0],[0,5479,5607,1,0],[1,5606,5734,1,0],[1,5734,5862,1,0],[1,5862,5990,1,0],[1,5990,6118,1,0],[1,6118,6246,1,0],[1,6363,6491,1,0],[0,6402,6530,1,0],[1,6491,6619,1,0],[0,6530,6658,1,0],[1,6619,6747,1,0],[0,6658,6786,1,0],[1,6747,6875,1,0],[0,6786,6914,1,0],[1,6875,7003,1,0],[0,6914,7042,1,0],[0,7042,7170,1,0],[1,7170,7298,1,0],[0,7170,7298,1,0],[1,7298,7426,1,0],[0,7298,7426,1,0],[0,7426,7554,1,0],[0,7554,7682,1,0],[0,7682,7810,1,0],[0,7810,7938,1,0],[0,7938,8066,1,0],[0,8066,8138,1,0],[0,8138,8210,1,0],[0,8210,8282,1,0],[0,8282,8354,1,0],[0,8505,8577,1,0],[0,8577,8649,1,0],[0,8649,8721,1,0]],[[0,28,156,1,0],[1,83,155,1,0],[1,155,227,1,0],[0,156,284,1,0],[1,227,299,1,0],[0,284,412,1,0],[1,299,371,1,0],[1,371,443,1,0],[0,412,540,1,0],[1,443,515,1,0],[1,515,587,1,0],[0,540,668,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,858,914,1,0],[1,914,970,1,0],[1,970,1026,1,0],[1,1026,1082,1,0],[0,1033,1161,1,0],[1,1082,1138,1,0],[1,1138,1194,1,0],[0,1161,1289,1,0],[0,1289,1417,1,0],[0,1417,1545,1,0],[0,1545,1673,1,0],[0,1673,1801,1,0],[0,1801,1929,1,0],[1,1816,1872,1,0],[1,1872,1928,1,0],[1,1928,1984,1,0],[1,1984,2040,1,0],[1,2040,2096,1,0],[1,2096,2152,1,0],[0,2421,2549,1,0],[0,2549,2677,1,0],[0,2677,2805,1,0],[1,2730,2786,1,0],[1,2786,2842,1,0],[0,2805,2933,1,0],[1,2842,2898,1,0],[1,2898,2954,1,0],[0,2933,3061,1,0],[1,2954,3010,1,0],[1,3010,3066,1,0],[0,3061,3189,1,0],[1,3066,3122,1,0],[0,3189,3317,1,0],[1,3317,3389,1,0],[1,3389,3461,1,0],[1,3461,3533,1,0],[1,3533,3605,1,0],[1,3605,3677,1,0],[1,3677,3749,1,0],[0,3990,4118,1,0],[1,4056,4128,1,0],[0,4118,4246,1,0],[1,4130,4202,1,0],[1,4202,4274,1,0],[0,4246,4374,1,0],[1,4274,4346,1,0],[1,4346,4418,1,0],[0,4374,4502,1,0],[1,4418,4490,1,0],[1,4490,4546,1,0],[0,4502,4630,1,0],[1,4546,4602,1,0],[1,4602,4658,1,0],[0,4630,4758,1,0],[1,4658,4714,1,0],[0,4758,4886,1,0],[1,4886,4942,1,0],[1,4942,4998,1,0],[1,4998,5054,1,0],[1,5054,5126,1,0],[1,5126,5198,1,0],[1,5198,5270,1,0],[1,5270,5342,1,0],[1,5342,5414,1,0],[1,5414,5486,1,0],[1,5486,5558,1,0],[0,5488,5616,1,0],[1,5558,5614,1,0],[1,5614,5670,1,0],[0,5616,5744,1,0],[1,5670,5726,1,0],[1,5726,5782,1,0],[0,5744,5872,1,0],[1,5782,5838,1,0],[1,5838,5894,1,0],[0,5872,6000,1,0],[1,5894,5950,1,0],[1,5950,6022,1,0],[0,6000,6128,1,0],[1,6022,6094,1,0],[0,6128,6256,1,0],[0,6256,6384,1,0],[0,6896,7024,1,0],[1,7015,7087,1,0],[0,7024,7152,1,0],[1,7087,7159,1,0],[0,7152,7280,1,0],[1,7159,7231,1,0],[1,7231,7303,1,0],[0,7280,7408,1,0],[1,7303,7359,1,0],[1,7359,7415,1,0],[0,7408,7536,1,0],[1,7415,7471,1,0],[1,7471,7527,1,0],[1,7527,7583,1,0],[0,7536,7664,1,0],[1,7583,7639,1,0],[0,7664,7792,1,0],[0,7792,7920,1,0],[1,7794,7850,1,0],[1,7850,7906,1,0],[1,7906,7962,1,0],[0,7920,8048,1,0],[1,7962,8018,1,0],[1,8018,8074,1,0],[0,8048,8176,1,0],[1,8076,8132,1,0],[1,8132,8188,1,0],[0,8176,8304,1,0],[1,8257,8329,1,0],[0,8304,8432,1,0],[1,8329,8401,1,0],[1,8401,8473,1,0],[0,8432,8560,1,0],[1,8473,8545,1,0],[0,8560,8688,1,0],[1,8688,8760,1,0],[1,8760,8832,1,0],[1,8832,8904,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,768,896,1,0],[1,852,980,1,0],[0,919,1047,1,0],[1,980,1108,1,0],[0,1047,1175,1,0],[1,1108,1236,1,0],[0,1175,1303,1,0],[1,1236,1364,1,0],[0,1303,1431,1,0],[1,1364,1492,1,0],[0,1431,1559,1,0],[1,1492,1620,1,0],[0,1559,1687,1,0],[1,1620,1748,1,0],[0,1687,1815,1,0],[1,1748,1876,1,0],[0,2385,2513,1,0],[0,2513,2641,1,0],[1,2518,2646,1,0],[1,2646,2774,1,0],[1,2774,2902,1,0],[1,2902,3030,1,0],[1,3030,3158,1,0],[1,3158,3286,1,0],[0,3167,3295,1,0],[0,3295,3423,1,0],[1,3308,3436,1,0],[0,3423,3551,1,0],[1,3436,3564,1,0],[0,3551,3679,1,0],[0,3679,3807,1,0],[1,3807,3935,1,0],[0,3807,3935,1,0],[1,3935,4063,1,0],[0,3935,4063,1,0],[1,4063,4191,1,0],[0,4063,4191,1,0],[1,4191,4319,1,0],[0,4191,4319,1,0],[0,4319,4447,1,0],[1,4321,4449,1,0],[0,4447,4575,1,0],[0,4575,4703,1,0],[1,4703,4831,1,0],[0,4703,4831,1,0],[1,4831,4959,1,0],[0,4831,4959,1,0],[1,4959,5087,1,0],[0,4959,5087,1,0],[1,5087,5215,1,0],[0,5087,5215,1,0],[1,5215,5343,1,0],[0,5215,5343,1,0],[1,5343,5471,1,0],[0,5343,5471,1,0],[0,5476,5604,1,0],[1,5604,5732,1,0],[0,5605,5733,1,0],[1,5732,5860,1,0],[1,5860,5988,1,0],[1,5988,6116,1,0],[1,6116,6244,1,0],[1,6244,6372,1,0],[0,6530,6658,1,0],[1,6589,6717,1,0],[0,6658,6786,1,0],[1,6717,6845,1,0],[0,6786,6914,1,0],[1,6845,6973,1,0],[0,6914,7042,1,0],[1,6973,7101,1,0],[0,7042,7170,1,0],[0,7170,7298,1,0],[1,7298,7426,1,0],[1,7426,7554,1,0],[0,7456,7584,1,0],[1,7554,7682,1,0],[0,7584,7712,1,0],[0,7712,7840,1,0],[0,7840,7968,1,0],[0,7968,8096,1,0],[0,8096,8224,1,0],[0,8224,8352,1,0],[0,8352,8424,1,0],[0,8424,8496,1,0],[0,8632,8704,1,0],[0,8704,8776,1,0],[0,8776,8848,1,0],[0,8848,8920,1,0],[0,8920,8992,1,0]],[[0,27,155,1,0],[1,83,155,1,0],[1,155,227,1,0],[0,156,284,1,0],[1,227,299,1,0],[0,284,412,1,0],[1,299,371,1,0],[1,371,443,1,0],[0,412,540,1,0],[1,443,515,1,0],[1,515,587,1,0],[0,540,668,1,0],[0,668,796,1,0],[0,796,924,1,0],[1,856,912,1,0],[1,912,968,1,0],[1,968,1024,1,0],[1,1024,1080,1,0],[0,1033,1161,1,0],[1,1080,1136,1,0],[1,1136,1192,1,0],[0,1161,1289,1,0],[0,1289,1417,1,0],[0,1417,1545,1,0],[0,1545,1673,1,0],[0,1673,1801,1,0],[0,1801,1929,1,0],[1,1813,1869,1,0],[1,1869,1925,1,0],[1,1925,1981,1,0],[1,1981,2037,1,0],[1,2037,2093,1,0],[1,2093,2149,1,0],[0,2419,2547,1,0],[0,2547,2675,1,0],[0,2675,2803,1,0],[1,2727,2783,1,0],[1,2783,2839,1,0],[0,2803,2931,1,0],[1,2839,2895,1,0],[1,2895,2951,1,0],[0,2931,3059,1,0],[1,2951,3007,1,0],[1,3007,3063,1,0],[0,3059,3187,1,0],[1,3063,3119,1,0],[0,3187,3315,1,0],[1,3315,3387,1,0],[1,3387,3459,1,0],[1,3459,3531,1,0],[1,3531,3603,1,0],[1,3603,3675,1,0],[1,3675,3747,1,0],[0,3989,4117,1,0],[1,4056,4128,1,0],[0,4117,4245,1,0],[1,4129,4201,1,0],[1,4201,4273,1,0],[0,4245,4373,1,0],[1,4273,4345,1,0],[1,4345,4417,1,0],[0,4373,4501,1,0],[1,4417,4489,1,0],[1,4489,4545,1,0],[0,4501,4629,1,0],[1,4545,4601,1,0],[1,4601,4657,1,0],[0,4629,4757,1,0],[1,4657,4713,1,0],[0,4757,4885,1,0],[1,4885,4941,1,0],[1,4941,4997,1,0],[1,4997,5053,1,0],[1,5053,5125,1,0],[1,5125,5197,1,0],[1,5197,5269,1,0],[1,5269,5341,1,0],[1,5341,5413,1,0],[0,5360,5488,1,0],[1,5413,5485,1,0],[1,5485,5557,1,0],[0,5488,5616,1,0],[1,5557,5613,1,0],[1,5613,5669,1,0],[0,5616,5744,1,0],[1,5669,5725,1,0],[1,5725,5781,1,0],[0,5744,5872,1,0],[1,5781,5837,1,0],[1,5837,5893,1,0],[0,5872,6000,1,0],[1,5893,5949,1,0],[1,5949,6021,1,0],[0,6000,6128,1,0],[0,6128,6256,1,0],[0,6768,6896,1,0],[1,6827,6899,1,0],[0,6896,7024,1,0],[1,6899,6971,1,0],[1,6971,7043,1,0],[0,7024,7152,1,0],[1,7043,7115,1,0],[1,7115,7187,1,0],[0,7152,7280,1,0],[1,7187,7243,1,0],[1,7243,7299,1,0],[0,7280,7408,1,0],[1,7299,7355,1,0],[1,7355,7411,1,0],[0,7408,7536,1,0],[1,7411,7467,1,0],[1,7467,7523,1,0],[0,7536,7664,1,0],[1,7664,7720,1,0],[0,7665,7793,1,0],[1,7720,7776,1,0],[1,7776,7832,1,0],[0,7793,7921,1,0],[1,7832,7888,1,0],[1,7888,7944,1,0],[0,7921,8049,1,0],[1,7944,8000,1,0],[1,8000,8056,1,0],[0,8049,8177,1,0],[1,8128,8200,1,0],[0,8177,8305,1,0],[1,8200,8272,1,0],[1,8272,8344,1,0],[0,8305,8433,1,0],[1,8344,8416,1,0],[0,8433,8561,1,0],[1,8561,8633,1,0],[1,8633,8705,1,0],[1,8705,8777,1,0]],[[0,10,138,1,0],[1,83,211,1,0],[0,138,266,1,0],[1,211,339,1,0],[0,266,394,1,0],[1,339,467,1,0],[0,394,522,1,0],[1,467,595,1,0],[0,522,650,1,0],[1,595,723,1,0],[0,650,778,1,0],[1,723,851,1,0],[0,778,906,1,0],[1,851,979,1,0],[0,906,1034,1,0],[1,979,1107,1,0],[0,1034,1162,1,0],[1,1107,1235,1,0],[0,1162,1290,1,0],[1,1235,1363,1,0],[0,1290,1418,1,0],[1,1363,1491,1,0],[0,1418,1546,1,0],[1,1491,1619,1,0],[1,1619,1747,1,0],[0,1660,1788,1,0],[1,1747,1875,1,0],[0,1788,1916,1,0],[0,1916,2044,1,0],[0,2044,2172,1,0],[0,2172,2300,1,0],[0,2300,2428,1,0],[1,2575,2703,1,0],[1,2703,2831,1,0],[1,2831,2959,1,0],[1,2959,3087,1,0],[1,3087,3215,1,0],[1,3215,3343,1,0],[1,3343,3471,1,0],[0,3417,3545,1,0],[1,3471,3599,1,0],[0,3566,3638,1,0],[1,3599,3727,1,0],[0,3638,3710,1,0],[0,3710,3782,1,0],[1,3727,3855,1,0],[0,3782,3854,1,0],[0,3854,3926,1,0],[1,3855,3983,1,0],[0,3926,3998,1,0],[1,3983,4111,1,0],[0,3998,4126,1,0],[1,4111,4239,1,0],[0,4126,4254,1,0],[0,4254,4382,1,0],[0,4382,4510,1,0],[0,4510,4638,1,0],[1,4638,4766,1,0],[1,4766,4894,1,0],[1,4894,5022,1,0],[1,5022,5150,1,0],[0,5027,5155,1,0],[1,5150,5278,1,0],[0,5155,5283,1,0],[1,5278,5406,1,0],[0,5283,5411,1,0],[1,5406,5534,1,0],[0,5411,5539,1,0],[1,5534,5662,1,0],[0,5539,5667,1,0],[1,5662,5790,1,0],[0,5667,5795,1,0],[1,5790,5918,1,0],[0,5795,5923,1,0],[1,5918,6046,1,0],[0,5923,6051,1,0],[1,6046,6174,1,0],[0,6051,6179,1,0],[1,6174,6302,1,0],[0,6179,6307,1,0],[0,6307,6435,1,0],[0,6435,6563,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,786,914,1,0],[0,914,1042,1,0],[0,1042,1170,1,0],[0,1170,1298,1,0],[0,1298,1426,1,0],[0,1426,1554,1,0],[1,1683,1811,1,0],[1,1811,1939,1,0],[1,1939,2067,1,0],[1,2067,2195,1,0],[1,2195,2323,1,0],[1,2323,2451,1,0],[1,2451,2579,1,0],[0,2467,2595,1,0],[1,2579,2707,1,0],[0,2595,2723,1,0],[1,2707,2835,1,0],[0,2723,2851,1,0],[1,2835,2963,1,0],[0,2851,2979,1,0],[1,2963,3091,1,0],[0,2979,3107,1,0],[1,3091,3219,1,0],[0,3107,3235,1,0],[1,3219,3347,1,0],[1,3347,3475,1,0],[0,3413,3541,1,0],[1,3475,3603,1,0],[0,3541,3669,1,0],[0,3669,3797,1,0],[0,3797,3925,1,0],[0,3925,4053,1,0],[1,4042,4170,1,0],[0,4053,4181,1,0],[1,4170,4298,1,0],[0,4181,4309,1,0],[1,4298,4426,1,0],[0,4309,4437,1,0],[1,4426,4554,1,0],[0,4437,4565,1,0],[1,4554,4682,1,0],[0,4565,4693,1,0],[0,4693,4821,1,0],[0,4821,4949,1,0],[1,4952,5080,1,0],[1,5082,5210,1,0],[1,5210,5338,1,0],[1,5338,5466,1,0],[1,5466,5594,1,0],[1,5594,5722,1,0],[1,5722,5850,1,0],[0,5775,5903,1,0],[0,5903,6031,1,0],[0,6031,6159,1,0],[0,6159,6287,1,0],[0,6287,6415,1,0],[0,6415,6543,1,0],[0,6543,6615,1,0],[0,6616,6688,1,0],[0,6688,6760,1,0],[0,6760,6832,1,0],[0,6832,6904,1,0],[0,6904,6976,1,0],[1,6976,7104,1,0],[1,7104,7232,1,0],[1,7232,7360,1,0],[1,7360,7488,1,0],[1,7488,7616,1,0],[1,7616,7744,1,0],[1,7744,7872,1,0]],[[0,11,139,1,0],[1,83,211,1,0],[0,139,267,1,0],[1,211,339,1,0],[0,267,395,1,0],[1,339,467,1,0],[0,395,523,1,0],[1,467,595,1,0],[0,523,651,1,0],[1,595,723,1,0],[0,651,779,1,0],[1,723,851,1,0],[0,779,907,1,0],[1,851,979,1,0],[0,907,1035,1,0],[1,979,1107,1,0],[0,1035,1163,1,0],[1,1107,1235,1,0],[0,1163,1291,1,0],[1,1235,1363,1,0],[0,1291,1419,1,0],[1,1363,1491,1,0],[0,1419,1547,1,0],[1,1491,1619,1,0],[1,1619,1747,1,0],[0,1660,1788,1,0],[1,1747,1875,1,0],[0,1788,1916,1,0],[0,1916,2044,1,0],[0,2044,2172,1,0],[0,2172,2300,1,0],[0,2300,2428,1,0],[1,2574,2702,1,0],[1,2702,2830,1,0],[1,2830,2958,1,0],[1,2958,3086,1,0],[1,3086,3214,1,0],[1,3214,3342,1,0],[1,3342,3470,1,0],[1,3470,3598,1,0],[0,3520,3592,1,0],[0,3592,3664,1,0],[1,3598,3726,1,0],[0,3664,3736,1,0],[0,3736,3808,1,0],[0,3808,3880,1,0],[0,3880,3952,1,0],[0,3952,4080,1,0],[1,4064,4192,1,0],[1,4192,4320,1,0],[0,4286,4414,1,0],[1,4320,4448,1,0],[1,4448,4576,1,0],[0,4464,4592,1,0],[0,4592,4720,1,0],[0,4720,4848,1,0],[0,4848,4976,1,0],[0,4976,5104,1,0],[0,5104,5232,1,0],[1,5232,5360,1,0],[1,5360,5488,1,0],[1,5488,5616,1,0],[1,5616,5744,1,0],[0,5621,5749,1,0],[1,5744,5872,1,0],[0,5749,5877,1,0],[1,5872,6000,1,0],[0,5877,6005,1,0],[1,6000,6128,1,0],[0,6005,6133,1,0],[1,6128,6256,1,0],[0,6133,6261,1,0],[1,6256,6384,1,0],[0,6261,6389,1,0],[1,6384,6512,1,0],[0,6389,6517,1,0],[1,6512,6640,1,0],[0,6517,6645,1,0],[1,6640,6768,1,0],[0,6645,6773,1,0],[1,6768,6896,1,0],[0,6773,6901,1,0]],[[0,0,128,1,0],[1,84,212,1,0],[0,128,256,1,0],[1,212,340,1,0],[0,256,384,1,0],[1,340,468,1,0],[0,384,512,1,0],[1,468,596,1,0],[0,512,640,1,0],[1,596,724,1,0],[0,640,768,1,0],[1,724,852,1,0],[0,787,915,1,0],[0,915,1043,1,0],[0,1043,1171,1,0],[0,1171,1299,1,0],[0,1299,1427,1,0],[0,1427,1555,1,0],[1,1680,1808,1,0],[1,1808,1936,1,0],[1,1936,2064,1,0],[1,2064,2192,1,0],[1,2192,2320,1,0],[1,2320,2448,1,0],[1,2448,2576,1,0],[0,2467,2595,1,0],[1,2576,2704,1,0],[0,2595,2723,1,0],[1,2704,2832,1,0],[0,2723,2851,1,0],[1,2832,2960,1,0],[0,2851,2979,1,0],[1,2960,3088,1,0],[0,2979,3107,1,0],[1,3088,3216,1,0],[0,3107,3235,1,0],[1,3216,3344,1,0],[1,3344,3472,1,0],[0,3413,3541,1,0],[1,3472,3600,1,0],[0,3541,3669,1,0],[0,3669,3797,1,0],[0,3797,3925,1,0],[0,3925,4053,1,0],[1,4040,4168,1,0],[0,4053,4181,1,0],[1,4168,4296,1,0],[0,4181,4309,1,0],[1,4296,4424,1,0],[0,4309,4437,1,0],[1,4424,4552,1,0],[0,4437,4565,1,0],[1,4552,4680,1,0],[0,4565,4693,1,0],[0,4693,4821,1,0],[0,4821,4949,1,0],[1,4951,5079,1,0],[1,5081,5209,1,0],[1,5209,5337,1,0],[1,5337,5465,1,0],[1,5465,5593,1,0],[1,5593,5721,1,0],[1,5721,5849,1,0],[0,5774,5902,1,0],[0,5902,6030,1,0],[0,6030,6158,1,0],[0,6158,6286,1,0],[0,6286,6414,1,0],[0,6414,6542,1,0],[0,6542,6614,1,0],[0,6614,6686,1,0],[0,6686,6758,1,0],[0,6758,6830,1,0],[0,6830,6902,1,0],[0,6902,6974,1,0],[1,7027,7155,1,0],[1,7155,7283,1,0],[1,7283,7411,1,0],[1,7411,7539,1,0],[1,7539,7667,1,0],[1,7667,7795,1,0],[1,7795,7923,1,0]],[[0,24,152,1,0],[1,83,211,1,0],[0,152,280,1,0],[1,211,339,1,0],[0,280,408,1,0],[1,339,467,1,0],[0,408,536,1,0],[1,467,595,1,0],[0,536,664,1,0],[1,595,723,1,0],[0,664,792,1,0],[1,723,851,1,0],[0,792,920,1,0],[1,998,1126,1,0],[1,1758,1886,1,0],[1,1886,2014,1,0],[0,1946,2066,1,0],[1,2014,2142,1,0],[0,2066,2186,1,0],[1,2142,2270,1,0],[0,2186,2306,1,0],[1,2270,2398,1,0],[0,2306,2426,1,0],[1,2398,2526,1,0],[0,2426,2546,1,0],[1,2526,2654,1,0],[0,2546,2666,1,0],[1,2654,2782,1,0],[0,2666,2786,1,0],[1,2782,2910,1,0],[0,2796,2916,1,0],[1,2910,3038,1,0],[0,2916,3036,1,0],[0,3036,3156,1,0],[1,3038,3166,1,0],[0,3156,3276,1,0],[1,3166,3294,1,0],[0,3276,3396,1,0],[1,3355,3483,1,0],[0,3396,3516,1,0],[1,3483,3611,1,0],[0,3516,3636,1,0],[1,3611,3739,1,0],[1,3739,3867,1,0],[0,3762,3882,1,0],[1,3867,3995,1,0],[0,3882,4002,1,0],[1,3995,4123,1,0],[0,4002,4122,1,0],[0,4122,4242,1,0],[0,4242,4362,1,0],[1,4256,4384,1,0],[0,4362,4482,1,0],[0,4482,4602,1,0],[0,4602,4722,1,0],[0,4722,4842,1,0],[0,4842,4962,1,0],[0,4962,5082,1,0],[0,5082,5202,1,0],[0,5202,5322,1,0],[0,5322,5442,1,0],[0,5442,5562,1,0],[0,5562,5682,1,0],[0,5682,5802,1,0],[0,5802,5922,1,0],[0,5922,6042,1,0],[0,6042,6162,1,0],[1,6059,6187,1,0],[0,6162,6282,1,0],[1,6187,6315,1,0],[1,6315,6443,1,0],[1,6443,6571,1,0],[1,6571,6699,1,0],[1,6699,6827,1,0],[1,6827,6955,1,0],[1,6955,7083,1,0],[0,7039,7159,1,0],[1,7083,7211,1,0],[0,7159,7279,1,0],[1,7211,7339,1,0],[0,7279,7399,1,0],[1,7339,7467,1,0],[0,7399,7519,1,0],[1,7467,7595,1,0],[0,7519,7639,1,0],[1,7595,7723,1,0],[0,7639,7759,1,0],[0,7759,7879,1,0],[0,7879,7999,1,0],[0,7999,8119,1,0],[0,8119,8239,1,0],[0,8239,8359,1,0],[0,8359,8479,1,0],[0,8479,8599,1,0],[0,8599,8719,1,0],[1,8731,8859,1,0],[1,8859,8987,1,0],[1,8987,9115,1,0],[1,9115,9243,1,0],[1,9243,9371,1,0],[1,9371,9499,1,0],[1,9499,9627,1,0]],[[0,18,138,1,0],[1,83,211,1,0],[0,138,258,1,0],[1,211,339,1,0],[0,258,378,1,0],[1,339,467,1,0],[0,378,498,1,0],[1,467,595,1,0],[0,498,618,1,0],[1,595,723,1,0],[0,618,738,1,0],[1,723,851,1,0],[0,738,858,1,0],[1,851,979,1,0],[0,858,978,1,0],[0,978,1098,1,0],[1,979,1107,1,0],[0,1098,1218,1,0],[1,1107,1235,1,0],[1,1235,1363,1,0],[1,1363,1491,1,0],[1,1491,1619,1,0],[1,1735,1863,1,0],[1,1863,1991,1,0],[0,1963,2083,1,0],[1,1991,2119,1,0],[0,2083,2203,1,0],[1,2119,2247,1,0],[0,2203,2323,1,0],[1,2247,2375,1,0],[0,2323,2443,1,0],[1,2375,2503,1,0],[0,2443,2563,1,0],[1,2503,2631,1,0],[0,2563,2683,1,0],[0,2683,2803,1,0],[0,2803,2923,1,0],[0,2923,3043,1,0],[0,3043,3163,1,0],[1,3045,3173,1,0],[0,3163,3283,1,0],[1,3173,3301,1,0],[0,3283,3411,1,0],[1,3301,3429,1,0],[0,3411,3539,1,0],[1,3429,3557,1,0],[0,3539,3667,1,0],[1,3557,3685,1,0],[0,3667,3795,1,0],[1,3685,3813,1,0],[0,3795,3923,1,0],[1,3813,3941,1,0],[0,3923,4051,1,0],[1,3941,4069,1,0],[0,4051,4179,1,0],[1,4069,4197,1,0],[1,4197,4325,1,0],[1,4325,4453,1,0],[1,4453,4581,1,0],[1,4581,4709,1,0],[0,5315,5435,1,0],[0,5435,5555,1,0],[0,5555,5675,1,0],[1,5592,5720,1,0],[0,5675,5795,1,0],[1,5720,5848,1,0],[0,5795,5915,1,0],[1,5848,5976,1,0],[0,5957,6077,1,0],[1,5976,6104,1,0],[0,6077,6197,1,0],[1,6104,6232,1,0],[0,6197,6317,1,0],[1,6232,6360,1,0],[0,6317,6437,1,0],[0,6437,6557,1,0],[0,6557,6677,1,0],[0,6677,6797,1,0],[0,6797,6917,1,0],[1,6868,6996,1,0],[0,6917,7037,1,0],[1,6996,7124,1,0],[0,7037,7157,1,0],[1,7124,7252,1,0],[0,7157,7277,1,0],[1,7252,7380,1,0],[0,7277,7397,1,0],[1,7380,7508,1,0],[0,7397,7517,1,0],[1,7508,7636,1,0],[0,7517,7637,1,0],[1,7636,7764,1,0],[0,7637,7757,1,0],[0,7757,7877,1,0],[1,7764,7892,1,0],[0,7882,8002,1,0],[0,8002,8122,1,0],[0,8122,8242,1,0],[0,8242,8362,1,0],[0,8362,8482,1,0],[0,8482,8602,1,0],[0,8602,8722,1,0]],[[0,23,151,1,0],[1,83,211,1,0],[0,151,279,1,0],[0,279,407,1,0],[0,407,535,1,0],[0,535,663,1,0],[0,663,791,1,0],[0,791,919,1,0],[1,919,1047,1,0],[1,1047,1175,1,0],[1,1175,1303,1,0],[1,1303,1431,1,0],[0,1345,1465,1,0],[1,1431,1559,1,0],[1,1559,1687,1,0],[1,1757,1885,1,0],[1,1885,2013,1,0],[1,2013,2141,1,0],[0,2063,2183,1,0],[1,2141,2269,1,0],[0,2183,2303,1,0],[1,2269,2397,1,0],[0,2303,2423,1,0],[1,2397,2525,1,0],[0,2423,2543,1,0],[1,2525,2653,1,0],[0,2543,2663,1,0],[1,2653,2781,1,0],[0,2663,2783,1,0],[1,2781,2909,1,0],[1,2909,3037,1,0],[1,3037,3165,1,0],[1,3165,3293,1,0],[0,3236,3356,1,0],[0,3356,3476,1,0],[0,3476,3596,1,0],[0,3596,3716,1,0],[0,3716,3836,1,0],[0,3836,3956,1,0],[0,3956,4076,1,0],[0,4076,4196,1,0],[1,4078,4206,1,0],[0,4196,4316,1,0],[0,4316,4436,1,0],[0,4436,4556,1,0],[0,4556,4676,1,0],[0,4676,4796,1,0],[0,4796,4916,1,0],[1,4916,5044,1,0],[0,4916,5036,1,0],[0,5036,5156,1,0],[1,5044,5172,1,0],[1,5172,5300,1,0],[1,5300,5428,1,0],[1,5428,5556,1,0],[0,5544,5664,1,0],[1,5556,5684,1,0],[0,5689,5809,1,0],[0,5809,5929,1,0],[0,5929,6049,1,0],[0,6049,6169,1,0],[0,6169,6289,1,0],[0,6289,6409,1,0],[1,6354,6482,1,0],[0,6409,6529,1,0],[1,6482,6610,1,0],[0,6529,6649,1,0],[1,6610,6738,1,0],[0,6649,6769,1,0],[1,6738,6866,1,0],[0,6769,6889,1,0],[1,6866,6994,1,0],[0,6889,7009,1,0],[1,6994,7122,1,0],[0,7009,7129,1,0],[1,7122,7250,1,0],[0,7129,7249,1,0],[1,7250,7378,1,0],[0,7277,7397,1,0],[1,7378,7506,1,0],[1,7506,7634,1,0],[1,7634,7762,1,0],[1,7762,7890,1,0],[1,7890,8018,1,0],[0,8023,8143,1,0],[0,8143,8263,1,0],[0,8263,8383,1,0],[0,8383,8503,1,0],[0,8503,8623,1,0],[0,8623,8743,1,0],[0,8743,8863,1,0],[0,8863,8983,1,0],[0,8983,9103,1,0],[0,9103,9223,1,0],[0,9223,9343,1,0],[1,9343,9471,1,0],[1,9471,9599,1,0],[1,9599,9727,1,0],[1,9727,9855,1,0],[1,9855,9983,1,0],[1,9983,10111,1,0],[1,10111,10239,1,0]],[[0,19,139,1,0],[1,83,211,1,0],[0,139,259,1,0],[1,211,339,1,0],[0,259,379,1,0],[1,339,467,1,0],[0,379,499,1,0],[1,467,595,1,0],[0,499,619,1,0],[1,595,723,1,0],[0,619,739,1,0],[1,723,851,1,0],[0,739,859,1,0],[1,851,979,1,0],[0,859,979,1,0],[1,979,1107,1,0],[0,979,1099,1,0],[0,1099,1219,1,0],[1,1107,1235,1,0],[1,1235,1363,1,0],[1,1363,1491,1,0],[1,1491,1619,1,0],[1,1734,1862,1,0],[1,1862,1990,1,0],[0,1962,2082,1,0],[1,1990,2118,1,0],[0,2082,2202,1,0],[1,2118,2246,1,0],[0,2202,2322,1,0],[1,2246,2374,1,0],[0,2322,2442,1,0],[1,2374,2502,1,0],[0,2442,2562,1,0],[1,2502,2630,1,0],[0,2562,2682,1,0],[0,2682,2802,1,0],[0,2802,2922,1,0],[0,2922,3042,1,0],[0,3042,3162,1,0],[0,3162,3282,1,0],[0,3282,3410,1,0],[1,3299,3427,1,0],[0,3410,3538,1,0],[1,3427,3555,1,0],[0,3538,3666,1,0],[1,3555,3683,1,0],[0,3666,3794,1,0],[1,3683,3811,1,0],[0,3794,3922,1,0],[1,3811,3939,1,0],[0,3922,4050,1,0],[1,3939,4067,1,0],[0,4050,4178,1,0],[1,4067,4195,1,0],[1,4195,4323,1,0],[1,4323,4451,1,0],[1,4451,4579,1,0],[1,4579,4707,1,0],[1,4707,4835,1,0],[1,4835,4963,1,0],[0,5312,5432,1,0],[0,5432,5552,1,0],[0,5552,5672,1,0],[1,5592,5720,1,0],[0,5672,5792,1,0],[1,5720,5848,1,0],[0,5792,5912,1,0],[1,5848,5976,1,0],[0,5954,6074,1,0],[1,5976,6104,1,0],[0,6074,6194,1,0],[1,6104,6232,1,0],[0,6194,6314,1,0],[1,6232,6360,1,0],[0,6314,6434,1,0],[0,6434,6554,1,0],[0,6554,6674,1,0],[0,6674,6794,1,0],[0,6794,6914,1,0],[1,6868,6996,1,0],[0,6915,7035,1,0],[1,6996,7124,1,0],[0,7035,7155,1,0],[1,7124,7252,1,0],[0,7155,7275,1,0],[1,7252,7380,1,0],[0,7275,7395,1,0],[1,7380,7508,1,0],[0,7395,7515,1,0],[1,7508,7636,1,0],[0,7515,7635,1,0],[0,7635,7755,1,0],[1,7636,7764,1,0],[0,7755,7875,1,0],[0,7879,7999,1,0],[1,7881,8009,1,0],[0,7999,8119,1,0],[0,8119,8239,1,0],[0,8239,8359,1,0],[0,8359,8479,1,0],[0,8479,8599,1,0],[0,8599,8719,1,0]],[[0,24,144,1,0],[1,83,211,1,0],[0,144,264,1,0],[1,211,339,1,0],[0,264,384,1,0],[1,339,467,1,0],[0,386,506,1,0],[1,467,595,1,0],[0,506,626,1,0],[1,595,723,1,0],[0,626,746,1,0],[1,723,851,1,0],[0,746,866,1,0],[1,851,979,1,0],[0,1409,1529,1,0],[0,1529,1649,1,0],[0,1649,1769,1,0],[0,1769,1889,1,0],[0,1889,2009,1,0],[1,1942,2070,1,0],[0,2009,2129,1,0],[1,2070,2198,1,0],[0,2129,2249,1,0],[1,2198,2326,1,0],[1,2787,2915,1,0],[0,2849,2969,1,0],[1,2915,3043,1,0],[1,3043,3171,1,0],[0,3057,3177,1,0],[1,3171,3299,1,0],[0,3177,3297,1,0],[0,3297,3417,1,0],[1,3299,3427,1,0],[0,3417,3537,1,0],[1,3427,3555,1,0],[0,3537,3657,1,0],[1,3555,3683,1,0],[0,3657,3777,1,0],[1,3683,3811,1,0],[0,3777,3897,1,0],[1,3811,3939,1,0],[0,3897,4017,1,0],[1,3939,4067,1,0],[0,4017,4137,1,0],[0,4137,4257,1,0],[0,4257,4377,1,0],[0,4377,4497,1,0],[0,4497,4617,1,0],[0,4617,4737,1,0],[0,4737,4857,1,0],[1,4844,4972,1,0],[0,4857,4977,1,0],[1,4972,5100,1,0],[0,4977,5097,1,0],[0,5097,5217,1,0],[1,5100,5228,1,0],[0,5217,5337,1,0],[0,5337,5457,1,0],[1,5884,6012,1,0],[1,6012,6140,1,0],[0,6062,6182,1,0],[1,6140,6268,1,0],[0,6182,6302,1,0],[0,6302,6422,1,0],[0,6422,6542,1,0],[0,6542,6662,1,0],[0,6662,6782,1,0],[0,6782,6902,1,0],[0,6902,7022,1,0],[1,6969,7097,1,0],[0,7022,7142,1,0],[1,7097,7225,1,0],[0,7144,7264,1,0],[1,7225,7353,1,0],[0,7264,7384,1,0],[1,7353,7481,1,0],[0,7384,7504,1,0],[1,7481,7609,1,0],[0,7504,7624,1,0],[1,7609,7737,1,0],[0,7624,7744,1,0],[1,8461,8589,1,0],[1,8589,8717,1,0],[1,8717,8845,1,0],[1,8845,8973,1,0],[1,8973,9101,1,0],[1,9101,9229,1,0],[1,9229,9357,1,0]],[[0,18,138,1,0],[1,83,203,1,0],[0,138,258,1,0],[1,203,323,1,0],[0,258,378,1,0],[1,323,443,1,0],[0,378,498,1,0],[1,443,563,1,0],[1,563,683,1,0],[1,683,803,1,0],[1,803,923,1,0],[0,928,1048,1,0],[0,1048,1168,1,0],[0,1168,1288,1,0],[0,1288,1408,1,0],[0,1408,1528,1,0],[0,1528,1648,1,0],[0,1648,1768,1,0],[0,1768,1888,1,0],[1,1888,2008,1,0],[0,1888,2016,1,0],[1,2008,2128,1,0],[0,2016,2144,1,0],[1,2128,2248,1,0],[0,2144,2272,1,0],[1,2248,2368,1,0],[1,2368,2488,1,0],[1,2488,2608,1,0],[1,2608,2728,1,0],[0,2733,2861,1,0],[0,2861,2989,1,0],[0,2989,3117,1,0],[1,3117,3237,1,0],[1,3237,3357,1,0],[1,3357,3477,1,0],[1,3477,3597,1,0],[0,3516,3636,1,0],[1,3597,3717,1,0],[0,3636,3756,1,0],[1,3717,3837,1,0],[1,3837,3957,1,0],[0,3962,4082,1,0],[0,4082,4202,1,0],[0,4202,4322,1,0],[0,4322,4442,1,0],[1,4442,4562,1,0],[1,4562,4682,1,0],[1,4682,4802,1,0],[0,4725,4845,1,0],[1,4802,4922,1,0],[0,4845,4965,1,0],[1,4922,5042,1,0],[0,4965,5085,1,0],[1,5042,5162,1,0],[0,5085,5205,1,0],[1,5162,5282,1,0],[0,5287,5407,1,0],[0,5407,5527,1,0],[0,5527,5647,1,0],[0,5647,5767,1,0],[0,5767,5887,1,0],[0,5887,6007,1,0],[0,6007,6127,1,0],[0,6127,6247,1,0],[1,6247,6367,1,0],[1,6367,6487,1,0],[1,6487,6607,1,0],[1,6607,6727,1,0],[1,6727,6847,1,0],[1,6847,6967,1,0],[0,6910,7030,1,0],[1,6967,7087,1,0],[0,7030,7150,1,0],[1,7087,7207,1,0],[0,7150,7270,1,0],[1,7207,7327,1,0],[0,7270,7390,1,0],[1,7327,7447,1,0],[0,7390,7510,1,0],[1,7447,7567,1,0],[0,7510,7630,1,0],[1,7567,7687,1,0]],[[0,23,143,1,0],[1,83,211,1,0],[0,143,263,1,0],[1,211,339,1,0],[0,263,383,1,0],[1,339,467,1,0],[0,383,503,1,0],[1,467,595,1,0],[0,503,623,1,0],[1,595,723,1,0],[0,623,743,1,0],[1,723,851,1,0],[0,743,863,1,0],[1,851,979,1,0],[0,1407,1527,1,0],[0,1527,1647,1,0],[0,1647,1767,1,0],[0,1767,1887,1,0],[0,1887,2007,1,0],[1,1941,2069,1,0],[0,2007,2127,1,0],[1,2069,2197,1,0],[0,2127,2247,1,0],[1,2197,2325,1,0],[1,2786,2914,1,0],[0,2847,2967,1,0],[1,2914,3042,1,0],[1,3042,3170,1,0],[0,3058,3178,1,0],[1,3170,3298,1,0],[0,3178,3298,1,0],[0,3298,3418,1,0],[1,3298,3426,1,0],[0,3418,3538,1,0],[1,3426,3554,1,0],[0,3538,3658,1,0],[1,3554,3682,1,0],[0,3658,3778,1,0],[1,3682,3810,1,0],[0,3778,3898,1,0],[1,3810,3938,1,0],[0,3898,4018,1,0],[1,3938,4066,1,0],[0,4018,4138,1,0],[0,4138,4258,1,0],[0,4258,4378,1,0],[0,4378,4498,1,0],[0,4498,4618,1,0],[0,4618,4738,1,0],[0,4738,4858,1,0],[1,4841,4969,1,0],[0,4858,4978,1,0],[1,4969,5097,1,0],[0,4978,5098,1,0],[1,5097,5225,1,0],[0,5098,5218,1,0],[0,5218,5338,1,0],[0,5338,5458,1,0],[1,5884,6012,1,0],[1,6012,6140,1,0],[0,6063,6183,1,0],[1,6140,6268,1,0],[0,6183,6303,1,0],[0,6303,6423,1,0],[0,6423,6543,1,0],[0,6543,6663,1,0],[0,6663,6783,1,0],[0,6783,6903,1,0],[0,6903,7023,1,0],[1,6967,7095,1,0],[0,7023,7143,1,0],[1,7095,7223,1,0],[0,7143,7263,1,0],[1,7223,7351,1,0],[0,7263,7383,1,0],[1,7351,7479,1,0],[0,7383,7503,1,0],[1,7479,7607,1,0],[0,7503,7623,1,0],[1,7607,7735,1,0],[0,7623,7743,1,0],[1,7860,7988,1,0],[1,7988,8116,1,0],[1,8771,8899,1,0],[1,8899,9027,1,0],[1,9027,9155,1,0],[1,9155,9283,1,0],[1,9283,9411,1,0]]]